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LCM of 743, 218, 675, 779, 764

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


Find the LCM of 743, 218, 675, 779, 764 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 743, 218, 675, 779, 764. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 743,218,675,779,764

Given numbers are 743,218,675,779,764

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

The LCM of 743,218,675,779,764 is 32534931806100.

Find LCM of 743,218,675,779,764 with Prime Factorization


2 743, 218, 675, 779, 764
743, 109, 675, 779, 382

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

2 x 743 x 109 x 675 x 779 x 382 = 32534931806100

Therefore, the lowest common multiple of 743,218,675,779,764 is 32534931806100.

LCM Formula to Find Lowest Common Multiple of 743,218,675,779,764

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.

743 x 218 x 675 x 779 x 764 = 65069863612200

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.

743 : 1, 743

218 : 1, 2, 109, 218

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

779 : 1, 19, 41, 779

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,218,675,779,764, is 1.

Now, the common factors can be found like this.

743:743

218:2x 109

675:3x 3x 3x 5x 5

779:19x 41

764:2x 2x 191

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 = 65069863612200/(1x2)

LCM = 65069863612200/2

LCM = 32534931806100

Thus, we can understand that the LCM of 743,218,675,779,764 is 32534931806100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 743, 218, 675, 779, 764

1. What is the LCM of 743, 218, 675, 779, 764?

Answer: LCM of 743, 218, 675, 779, 764 is 32534931806100.

2. How to calculate the LCM of 743, 218, 675, 779, 764?

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 743, 218, 675, 779, 764.

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}.