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LCM of 352, 764, 446, 962

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


Find the LCM of 352, 764, 446, 962 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 352, 764, 446, 962. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 352,764,446,962

Given numbers are 352,764,446,962

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

The LCM of 352,764,446,962 is 7211506016.

Find LCM of 352,764,446,962 with Prime Factorization


2 352, 764, 446, 962
2 176, 382, 223, 481
88, 191, 223, 481

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

2 x 2 x 88 x 191 x 223 x 481 = 7211506016

Therefore, the lowest common multiple of 352,764,446,962 is 7211506016.

LCM Formula to Find Lowest Common Multiple of 352,764,446,962

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.

352 x 764 x 446 x 962 = 115384096256

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

764 : 1, 2, 4, 191, 382, 764

446 : 1, 2, 223, 446

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,764,446,962, is 2.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

764:2x 2x 191

446:2x 223

962:2x 13x 37

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 115384096256/(2x8)

LCM = 115384096256/16

LCM = 7211506016

Thus, we can understand that the LCM of 352,764,446,962 is 7211506016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 352, 764, 446, 962

1. What is the LCM of 352, 764, 446, 962?

Answer: LCM of 352, 764, 446, 962 is 7211506016.

2. How to calculate the LCM of 352, 764, 446, 962?

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 352, 764, 446, 962.

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}.