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LCM of 715, 813, 221, 892, 864

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


Find the LCM of 715, 813, 221, 892, 864 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 715, 813, 221, 892, 864. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 715,813,221,892,864

Given numbers are 715,813,221,892,864

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

The LCM of 715,813,221,892,864 is 634662531360.

Find LCM of 715,813,221,892,864 with Prime Factorization


2 715, 813, 221, 892, 864
2 715, 813, 221, 446, 432
3 715, 813, 221, 223, 216
13 715, 271, 221, 223, 72
55, 271, 17, 223, 72

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

2 x 2 x 3 x 13 x 55 x 271 x 17 x 223 x 72 = 634662531360

Therefore, the lowest common multiple of 715,813,221,892,864 is 634662531360.

LCM Formula to Find Lowest Common Multiple of 715,813,221,892,864

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.

715 x 813 x 221 x 892 x 864 = 99007354892160

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

813 : 1, 3, 271, 813

221 : 1, 13, 17, 221

892 : 1, 2, 4, 223, 446, 892

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,813,221,892,864, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

813:3x 271

221:13x 17

892:2x 2x 223

864:2x 2x 2x 2x 2x 3x 3x 3

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

2x 2x 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 99007354892160/(1x156)

LCM = 99007354892160/156

LCM = 634662531360

Thus, we can understand that the LCM of 715,813,221,892,864 is 634662531360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 715, 813, 221, 892, 864

1. What is the LCM of 715, 813, 221, 892, 864?

Answer: LCM of 715, 813, 221, 892, 864 is 634662531360.

2. How to calculate the LCM of 715, 813, 221, 892, 864?

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 715, 813, 221, 892, 864.

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}.