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LCM of 913, 572, 763, 386

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


Find the LCM of 913, 572, 763, 386 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 913, 572, 763, 386. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 913,572,763,386

Given numbers are 913,572,763,386

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

The LCM of 913,572,763,386 is 6991268284.

Find LCM of 913,572,763,386 with Prime Factorization


2 913, 572, 763, 386
11 913, 286, 763, 193
83, 26, 763, 193

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

2 x 11 x 83 x 26 x 763 x 193 = 6991268284

Therefore, the lowest common multiple of 913,572,763,386 is 6991268284.

LCM Formula to Find Lowest Common Multiple of 913,572,763,386

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.

913 x 572 x 763 x 386 = 153807902248

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.

913 : 1, 11, 83, 913

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

763 : 1, 7, 109, 763

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,572,763,386, is 1.

Now, the common factors can be found like this.

913:11x 83

572:2x 2x 11x 13

763:7x 109

386:2x 193

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 = 153807902248/(1x22)

LCM = 153807902248/22

LCM = 6991268284

Thus, we can understand that the LCM of 913,572,763,386 is 6991268284.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 913, 572, 763, 386

1. What is the LCM of 913, 572, 763, 386?

Answer: LCM of 913, 572, 763, 386 is 6991268284.

2. How to calculate the LCM of 913, 572, 763, 386?

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 913, 572, 763, 386.

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}.