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LCM of 635, 446, 988, 854

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


Find the LCM of 635, 446, 988, 854 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 635, 446, 988, 854. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 635,446,988,854

Given numbers are 635,446,988,854

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

The LCM of 635,446,988,854 is 59739750980.

Find LCM of 635,446,988,854 with Prime Factorization


2 635, 446, 988, 854
635, 223, 494, 427

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

2 x 635 x 223 x 494 x 427 = 59739750980

Therefore, the lowest common multiple of 635,446,988,854 is 59739750980.

LCM Formula to Find Lowest Common Multiple of 635,446,988,854

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.

635 x 446 x 988 x 854 = 238959003920

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.

635 : 1, 5, 127, 635

446 : 1, 2, 223, 446

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,446,988,854, is 1.

Now, the common factors can be found like this.

635:5x 127

446:2x 223

988:2x 2x 13x 19

854:2x 7x 61

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 = 238959003920/(1x4)

LCM = 238959003920/4

LCM = 59739750980

Thus, we can understand that the LCM of 635,446,988,854 is 59739750980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 635, 446, 988, 854

1. What is the LCM of 635, 446, 988, 854?

Answer: LCM of 635, 446, 988, 854 is 59739750980.

2. How to calculate the LCM of 635, 446, 988, 854?

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 635, 446, 988, 854.

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}.