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LCM of 512, 719, 962, 966

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 512, 719, 962, 966 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 512, 719, 962, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 512,719,962,966

Given numbers are 512,719,962,966

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 512,719,962,966 is 85524601344.

Find LCM of 512,719,962,966 with Prime Factorization


2 512, 719, 962, 966
256, 719, 481, 483

Multiply the prime numbers at the bottom and the left side.

2 x 256 x 719 x 481 x 483 = 85524601344

Therefore, the lowest common multiple of 512,719,962,966 is 85524601344.

LCM Formula to Find Lowest Common Multiple of 512,719,962,966

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

512 x 719 x 962 x 966 = 342098405376

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

719 : 1, 719

962 : 1, 2, 13, 26, 37, 74, 481, 962

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,719,962,966, is 1.

Now, the common factors can be found like this.

512:2x 2x 2x 2x 2x 2x 2x 2x 2

719:719

962:2x 13x 37

966:2x 3x 7x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 342098405376/(1x4)

LCM = 342098405376/4

LCM = 85524601344

Thus, we can understand that the LCM of 512,719,962,966 is 85524601344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 512, 719, 962, 966

1. What is the LCM of 512, 719, 962, 966?

Answer: LCM of 512, 719, 962, 966 is 85524601344.

2. How to calculate the LCM of 512, 719, 962, 966?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 512, 719, 962, 966.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.