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LCM of 638, 790, 743, 707

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


Find the LCM of 638, 790, 743, 707 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 638, 790, 743, 707. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 638,790,743,707

Given numbers are 638,790,743,707

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

The LCM of 638,790,743,707 is 132381105010.

Find LCM of 638,790,743,707 with Prime Factorization


2 638, 790, 743, 707
319, 395, 743, 707

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

2 x 319 x 395 x 743 x 707 = 132381105010

Therefore, the lowest common multiple of 638,790,743,707 is 132381105010.

LCM Formula to Find Lowest Common Multiple of 638,790,743,707

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.

638 x 790 x 743 x 707 = 264762210020

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

790 : 1, 2, 5, 10, 79, 158, 395, 790

743 : 1, 743

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,790,743,707, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

790:2x 5x 79

743:743

707:7x 101

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

2 = 2

Therefore, the value for common factors is 2.

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 = 264762210020/(1x2)

LCM = 264762210020/2

LCM = 132381105010

Thus, we can understand that the LCM of 638,790,743,707 is 132381105010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 638, 790, 743, 707

1. What is the LCM of 638, 790, 743, 707?

Answer: LCM of 638, 790, 743, 707 is 132381105010.

2. How to calculate the LCM of 638, 790, 743, 707?

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 638, 790, 743, 707.

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}.