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LCM of 715, 572, 896, 291

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


Find the LCM of 715, 572, 896, 291 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, 572, 896, 291. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 715,572,896,291

Given numbers are 715,572,896,291

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

The LCM of 715,572,896,291 is 186426240.

Find LCM of 715,572,896,291 with Prime Factorization


2 715, 572, 896, 291
2 715, 286, 448, 291
11 715, 143, 224, 291
13 65, 13, 224, 291
5, 1, 224, 291

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

2 x 2 x 11 x 13 x 5 x 1 x 224 x 291 = 186426240

Therefore, the lowest common multiple of 715,572,896,291 is 186426240.

LCM Formula to Find Lowest Common Multiple of 715,572,896,291

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 572 x 896 x 291 = 106635809280

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

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

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,572,896,291, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

572:2x 2x 11x 13

896:2x 2x 2x 2x 2x 2x 2x 7

291:3x 97

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 11x 13 = 572

Therefore, the value for common factors is 572.

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 = 106635809280/(1x572)

LCM = 106635809280/572

LCM = 186426240

Thus, we can understand that the LCM of 715,572,896,291 is 186426240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 715, 572, 896, 291

1. What is the LCM of 715, 572, 896, 291?

Answer: LCM of 715, 572, 896, 291 is 186426240.

2. How to calculate the LCM of 715, 572, 896, 291?

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, 572, 896, 291.

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}.