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LCM of 101, 370, 492, 572, 913

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


Find the LCM of 101, 370, 492, 572, 913 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 101, 370, 492, 572, 913. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 101,370,492,572,913

Given numbers are 101,370,492,572,913

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

The LCM of 101,370,492,572,913 is 109111954380.

Find LCM of 101,370,492,572,913 with Prime Factorization


2 101, 370, 492, 572, 913
2 101, 185, 246, 286, 913
11 101, 185, 123, 143, 913
101, 185, 123, 13, 83

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

2 x 2 x 11 x 101 x 185 x 123 x 13 x 83 = 109111954380

Therefore, the lowest common multiple of 101,370,492,572,913 is 109111954380.

LCM Formula to Find Lowest Common Multiple of 101,370,492,572,913

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.

101 x 370 x 492 x 572 x 913 = 9601851985440

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.

101 : 1, 101

370 : 1, 2, 5, 10, 37, 74, 185, 370

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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

913 : 1, 11, 83, 913

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,370,492,572,913, is 1.

Now, the common factors can be found like this.

101:101

370:2x 5x 37

492:2x 2x 3x 41

572:2x 2x 11x 13

913:11x 83

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 11 = 88

Therefore, the value for common factors is 88.

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 = 9601851985440/(1x88)

LCM = 9601851985440/88

LCM = 109111954380

Thus, we can understand that the LCM of 101,370,492,572,913 is 109111954380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 101, 370, 492, 572, 913

1. What is the LCM of 101, 370, 492, 572, 913?

Answer: LCM of 101, 370, 492, 572, 913 is 109111954380.

2. How to calculate the LCM of 101, 370, 492, 572, 913?

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 101, 370, 492, 572, 913.

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}.