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LCM of 767, 386, 579, 721

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


Find the LCM of 767, 386, 579, 721 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 767, 386, 579, 721. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,386,579,721

Given numbers are 767,386,579,721

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

The LCM of 767,386,579,721 is 640382106.

Find LCM of 767,386,579,721 with Prime Factorization


193 767, 386, 579, 721
767, 2, 3, 721

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

193 x 767 x 2 x 3 x 721 = 640382106

Therefore, the lowest common multiple of 767,386,579,721 is 640382106.

LCM Formula to Find Lowest Common Multiple of 767,386,579,721

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.

767 x 386 x 579 x 721 = 123593746458

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.

767 : 1, 13, 59, 767

386 : 1, 2, 193, 386

579 : 1, 3, 193, 579

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,386,579,721, is 1.

Now, the common factors can be found like this.

767:13x 59

386:2x 193

579:3x 193

721:7x 103

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

193 = 193

Therefore, the value for common factors is 193.

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 = 123593746458/(1x193)

LCM = 123593746458/193

LCM = 640382106

Thus, we can understand that the LCM of 767,386,579,721 is 640382106.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 386, 579, 721

1. What is the LCM of 767, 386, 579, 721?

Answer: LCM of 767, 386, 579, 721 is 640382106.

2. How to calculate the LCM of 767, 386, 579, 721?

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 767, 386, 579, 721.

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}.