LCM stands for Least Common Multiple, which is a number that is the smallest multiple that two or more given numbers have in common. It is usually used to simplify fractional expressions when two or more numbers have a common factor.
The LCM calculation is used to reduce fractions to the simplest form. For example, the LCM of 4 and 6 is 12, as 12 is the smallest multiple that both 4 and 6 have in common. In a fraction, the LCM can be used to find the denominator of the fraction.
To do this, you would take the LCM of the numerator and denominator. The LCM of the denominator is then used as the new denominator of the fraction.
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What is LCM give example?
The least common multiple (LCM) of a set of numbers is the smallest number that is a multiple of all the numbers in the set. For example, the LCM of 3 and 4 is 12, since it is the smallest number that is a multiple of both 3 and 4.
Another example is the LCM of 5, 10, and 15, which is 30. This is because 30 is the smallest number that is a multiple of 5, 10, and 15.
What is the LCM of 24 and 36?
The Lowest Common Multiple (LCM) of 24 and 36 is the smallest positive number that both 24 and 36 divide into exactly. The LCM of 24 and 36 is 72. To find the LCM, divide each number into its prime factors:
24 = 2 x 2 x 2 x 3
36 = 2 x 2 x 3 x 3
Then, multiply together the common and unique prime factors:
2 x 2 x 2 x 3 x 3 = 72
Therefore, the LCM of 24 and 36 is 72.
How do you calculate LCM?
The least common multiple (LCM) of two or more non-zero integers is the smallest positive integer that is a multiple of all of the integers. The most reliable way to calculate the LCM of two or more integers is to list the prime factors of each number, then multiply each factor the greatest number of times it occurs in any given factorization.
To begin finding the LCM of two or more numbers, start by factoring them. To factor a number means to identify all of the prime factors that make up the number. For example, if you wanted to factor the number 12, you would identify that it has the prime factors of 2, 2, and 3.
Next, you will need to find the greatest common factor (GCF) of the given numbers. To do this, you must identify which prime factors appear in each factorization, then use the greatest common factor equation to determine the highest multiple of each prime factor that all of the numbers have in common.
Once you have determined the greatest common factor of all of the numbers, you can then use the prime factorization method to determine the LCM of the given numbers. This involves multiplying all of the prime factors of each number together, this time taking the highest multiplicities from each factorization.
By doing this, you will be able to find the LCM of the two or more numbers.
How do you do LCM step by step?
Step 1: Write down the two or more numbers for which you want to find the LCM.
Step 2: List the prime factors for each number.
Step 3: Multiply each factor the greatest number of times it occurs in either number.
Step 4: Multiply the resulting factors together to get the LCM.
For example, if you want to find the LCM for 12 and 18, you would do the following:
Step 1: List the two numbers:
12 and 18
Step 2: List the prime factors for each number:
12 = 2 x 2 x 3
18 = 2 x 3 x 3
Step 3: Multiply each factor the greatest number of times it occurs in either number:
2 x 2 x 3 x 3 x 3 =
Step 4: Multiply the resulting factors together to get the LCM:
2 x 2 x 3 x 3 x 3 = 108
Therefore, the LCM of 12 and 18 is 108.
What are three common multiples of 3 and 8?
The three common multiples of 3 and 8 are 24, 36, and 48. Other common multiples include 72, 96, and 120. A multiple is a number obtained by multiplying a given number by an integer. The multiple of a number is the product of that number and an integer.
For example, the multiple of 8 is 8 x any integer. Therefore, the common multiples of 3 and 8 are the numbers that are multiples of both 3 and 8.
What are the factors of 8?
The factors of 8 are the natural numbers that when multiplied together, equal 8. These numbers are 1, 2, 4, and 8. When any of these numbers are multiplied together, the product is 8. For example, 8 x 1 = 8, 4 x 2 = 8, and 2 x 4 = 8.
Is 8 a prime number?
No, 8 is not a prime number. Prime numbers are whole numbers that can only be divided by themselves and 1. 8 can be divided by 2, 4 and 8, so it is not a prime number. Prime numbers are useful in many areas of mathematics, most notably in cryptography and factorization problems.
The first ten prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.
What is the prime factorization method of 24?
The prime factorization method of 24 is the process of breaking down a number into its prime factors. This is done by dividing the number by the smallest prime number until it can’t be divided anymore.
In the case of 24, the prime factorization is: 2 x 2 x 2 x 3.
The number 24 can be divided by 2 three times, 2 x 2 x 2, and then can be divided by 3 once, 3 x 1, for a total of four factors that are all prime numbers. The prime factorization of 24 is thus 2 x 2 x 2 x 3.
