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2 x 2 = 4

2 x 2 x 3 = 12

2 x 2 x 3 = 12, the LCM

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Q: What is the LCM of 4 and 12 by using prime factors?
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What is the LCM of 12 and 30 using prime factorization?

It is: 60


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What is the lcm of 12, 30 and 150?

To find the LCM of 12, 30, and 150, we need to decompose the numbers into their prime factors. The prime factorization of 12 is 2^2 * 3, the prime factorization of 30 is 2 * 3 * 5, and the prime factorization of 150 is 2 * 3 * 5^2. Now, we need to choose the common and uncommon prime factors with the highest exponent. The common prime factors are 2 and 3, and the uncommon prime factors are 5 and 2^2. Therefore, the LCM of 12, 30, and 150 is 2^2 * 3 * 5^2 = 300. [1]


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Two or more numbers are normally needed to find the LCM


What is the least common multiple of 12 and 17?

The LCM of 12 and 17 is their product, 204. Since they are relatively prime, that is to say they have no factors in common, the least common multiple is 12x17. We know there are no factors in common because 17 is a prime.


How do you work out the LCM of 7 and 12?

It is 84 by multiplying both numbers because 7 is a prime and the prime factors of 12 are 2*2*3


How does the formula for using prime numbers to find the least common multiple work?

The first step in using primes for finding LCM is to find the factors of the given numbers. The LCM of the given numbers is the product of all the prime factors to their greatest power.An example of how use this method:Prime factors of 27 are 33Prime factors of 30 are 2 x 3 x 5Prime factors of 12 are 22 x 3Prime factors of 8 are 23The LCM of 27, 30, 12, and 8 is 23 x 33 x 5= 8 x 27 x 5 = 1,080


How can you find Least Common Multiple of 8 and 12?

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For the values 12, 8 the LCM is: 24The LCM of 8 and 12 is 24, which is the multiple of the highest power of prime factors from both numbers (23 x 3 = 2 x 2 x 2 x 3 = 12). (Prime factors: 8 = 23; 12 = 22 x 3)


What is the gcf and LCM of 60 72 using prime factorization?

They are: 12 and 360 respectively


What is the least common multiple of 9 and 12?

The LCM of 9 and 12 is: 36To determine the least common multiple of two numbers, determine the prime factors of both numbers. Then, determine the prime factors they have in common. Multiply all their prime factors together (in other words, multiply both numbers together) and divide by the prime factors they have in common (in other words, their greatest common factor).The prime factors of 9 are 3 and 3.The prime factors of 12 are 2, 2, and 3.The prime factors in common are a single 3, the greatest common factor is 3.36: 4 x 9, 3 x 12.The least common multiple of 12 , 9 = 36.3636


How do you find the least common multiple using prime factorization with the no 4 and 3?

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