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LCM of 763, 938, 815, 718

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


Find the LCM of 763, 938, 815, 718 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 763, 938, 815, 718. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 763,938,815,718

Given numbers are 763,938,815,718

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

The LCM of 763,938,815,718 is 29914475570.

Find LCM of 763,938,815,718 with Prime Factorization


2 763, 938, 815, 718
7 763, 469, 815, 359
109, 67, 815, 359

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

2 x 7 x 109 x 67 x 815 x 359 = 29914475570

Therefore, the lowest common multiple of 763,938,815,718 is 29914475570.

LCM Formula to Find Lowest Common Multiple of 763,938,815,718

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.

763 x 938 x 815 x 718 = 418802657980

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.

763 : 1, 7, 109, 763

938 : 1, 2, 7, 14, 67, 134, 469, 938

815 : 1, 5, 163, 815

718 : 1, 2, 359, 718

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,938,815,718, is 1.

Now, the common factors can be found like this.

763:7x 109

938:2x 7x 67

815:5x 163

718:2x 359

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 418802657980/(1x14)

LCM = 418802657980/14

LCM = 29914475570

Thus, we can understand that the LCM of 763,938,815,718 is 29914475570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 763, 938, 815, 718

1. What is the LCM of 763, 938, 815, 718?

Answer: LCM of 763, 938, 815, 718 is 29914475570.

2. How to calculate the LCM of 763, 938, 815, 718?

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 763, 938, 815, 718.

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}.