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LCM of 985, 771, 598, 460, 572

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


Find the LCM of 985, 771, 598, 460, 572 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 985, 771, 598, 460, 572. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 985,771,598,460,572

Given numbers are 985,771,598,460,572

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

The LCM of 985,771,598,460,572 is 9991126860.

Find LCM of 985,771,598,460,572 with Prime Factorization


2 985, 771, 598, 460, 572
2 985, 771, 299, 230, 286
5 985, 771, 299, 115, 143
13 197, 771, 299, 23, 143
23 197, 771, 23, 23, 11
197, 771, 1, 1, 11

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

2 x 2 x 5 x 13 x 23 x 197 x 771 x 1 x 1 x 11 = 9991126860

Therefore, the lowest common multiple of 985,771,598,460,572 is 9991126860.

LCM Formula to Find Lowest Common Multiple of 985,771,598,460,572

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.

985 x 771 x 598 x 460 x 572 = 119493877245600

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.

985 : 1, 5, 197, 985

771 : 1, 3, 257, 771

598 : 1, 2, 13, 23, 26, 46, 299, 598

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,771,598,460,572, is 1.

Now, the common factors can be found like this.

985:5x 197

771:3x 257

598:2x 13x 23

460:2x 2x 5x 23

572:2x 2x 11x 13

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 2x 5x 13x 23 = 11960

Therefore, the value for common factors is 11960.

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 = 119493877245600/(1x11960)

LCM = 119493877245600/11960

LCM = 9991126860

Thus, we can understand that the LCM of 985,771,598,460,572 is 9991126860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 985, 771, 598, 460, 572

1. What is the LCM of 985, 771, 598, 460, 572?

Answer: LCM of 985, 771, 598, 460, 572 is 9991126860.

2. How to calculate the LCM of 985, 771, 598, 460, 572?

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 985, 771, 598, 460, 572.

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}.