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LCM of 747, 868, 802, 127, 635

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


Find the LCM of 747, 868, 802, 127, 635 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 747, 868, 802, 127, 635. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 747,868,802,127,635

Given numbers are 747,868,802,127,635

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

The LCM of 747,868,802,127,635 is 165104315460.

Find LCM of 747,868,802,127,635 with Prime Factorization


2 747, 868, 802, 127, 635
127 747, 434, 401, 127, 635
747, 434, 401, 1, 5

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

2 x 127 x 747 x 434 x 401 x 1 x 5 = 165104315460

Therefore, the lowest common multiple of 747,868,802,127,635 is 165104315460.

LCM Formula to Find Lowest Common Multiple of 747,868,802,127,635

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.

747 x 868 x 802 x 127 x 635 = 41936496126840

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.

747 : 1, 3, 9, 83, 249, 747

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

802 : 1, 2, 401, 802

127 : 1, 127

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,868,802,127,635, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

868:2x 2x 7x 31

802:2x 401

127:127

635:5x 127

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

2x 127 = 254

Therefore, the value for common factors is 254.

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 = 41936496126840/(1x254)

LCM = 41936496126840/254

LCM = 165104315460

Thus, we can understand that the LCM of 747,868,802,127,635 is 165104315460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 747, 868, 802, 127, 635

1. What is the LCM of 747, 868, 802, 127, 635?

Answer: LCM of 747, 868, 802, 127, 635 is 165104315460.

2. How to calculate the LCM of 747, 868, 802, 127, 635?

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 747, 868, 802, 127, 635.

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}.