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LCM of 577, 358, 411, 895, 115

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


Find the LCM of 577, 358, 411, 895, 115 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 577, 358, 411, 895, 115. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 577,358,411,895,115

Given numbers are 577,358,411,895,115

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

The LCM of 577,358,411,895,115 is 9763341990.

Find LCM of 577,358,411,895,115 with Prime Factorization


5 577, 358, 411, 895, 115
179 577, 358, 411, 179, 23
577, 2, 411, 1, 23

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

5 x 179 x 577 x 2 x 411 x 1 x 23 = 9763341990

Therefore, the lowest common multiple of 577,358,411,895,115 is 9763341990.

LCM Formula to Find Lowest Common Multiple of 577,358,411,895,115

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.

577 x 358 x 411 x 895 x 115 = 8738191081050

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.

577 : 1, 577

358 : 1, 2, 179, 358

411 : 1, 3, 137, 411

895 : 1, 5, 179, 895

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,358,411,895,115, is 1.

Now, the common factors can be found like this.

577:577

358:2x 179

411:3x 137

895:5x 179

115:5x 23

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

5x 179 = 895

Therefore, the value for common factors is 895.

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 = 8738191081050/(1x895)

LCM = 8738191081050/895

LCM = 9763341990

Thus, we can understand that the LCM of 577,358,411,895,115 is 9763341990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 577, 358, 411, 895, 115

1. What is the LCM of 577, 358, 411, 895, 115?

Answer: LCM of 577, 358, 411, 895, 115 is 9763341990.

2. How to calculate the LCM of 577, 358, 411, 895, 115?

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 577, 358, 411, 895, 115.

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}.