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LCM of 645, 358, 962, 598, 572

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


Find the LCM of 645, 358, 962, 598, 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 645, 358, 962, 598, 572. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 645,358,962,598,572

Given numbers are 645,358,962,598,572

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

The LCM of 645,358,962,598,572 is 56200261260.

Find LCM of 645,358,962,598,572 with Prime Factorization


2 645, 358, 962, 598, 572
13 645, 179, 481, 299, 286
645, 179, 37, 23, 22

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

2 x 13 x 645 x 179 x 37 x 23 x 22 = 56200261260

Therefore, the lowest common multiple of 645,358,962,598,572 is 56200261260.

LCM Formula to Find Lowest Common Multiple of 645,358,962,598,572

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.

645 x 358 x 962 x 598 x 572 = 75982753223520

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

358 : 1, 2, 179, 358

962 : 1, 2, 13, 26, 37, 74, 481, 962

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

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 645,358,962,598,572, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

358:2x 179

962:2x 13x 37

598:2x 13x 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 13x 13 = 1352

Therefore, the value for common factors is 1352.

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 = 75982753223520/(1x1352)

LCM = 75982753223520/1352

LCM = 56200261260

Thus, we can understand that the LCM of 645,358,962,598,572 is 56200261260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 645, 358, 962, 598, 572

1. What is the LCM of 645, 358, 962, 598, 572?

Answer: LCM of 645, 358, 962, 598, 572 is 56200261260.

2. How to calculate the LCM of 645, 358, 962, 598, 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 645, 358, 962, 598, 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}.