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LCM of 638, 818, 583, 703

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


Find the LCM of 638, 818, 583, 703 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, 818, 583, 703. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 638,818,583,703

Given numbers are 638,818,583,703

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

The LCM of 638,818,583,703 is 9722437978.

Find LCM of 638,818,583,703 with Prime Factorization


2 638, 818, 583, 703
11 319, 409, 583, 703
29, 409, 53, 703

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

2 x 11 x 29 x 409 x 53 x 703 = 9722437978

Therefore, the lowest common multiple of 638,818,583,703 is 9722437978.

LCM Formula to Find Lowest Common Multiple of 638,818,583,703

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 818 x 583 x 703 = 213893635516

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

818 : 1, 2, 409, 818

583 : 1, 11, 53, 583

703 : 1, 19, 37, 703

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,818,583,703, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

818:2x 409

583:11x 53

703:19x 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 11 = 22

Therefore, the value for common factors is 22.

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 = 213893635516/(1x22)

LCM = 213893635516/22

LCM = 9722437978

Thus, we can understand that the LCM of 638,818,583,703 is 9722437978.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 638, 818, 583, 703

1. What is the LCM of 638, 818, 583, 703?

Answer: LCM of 638, 818, 583, 703 is 9722437978.

2. How to calculate the LCM of 638, 818, 583, 703?

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, 818, 583, 703.

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}.