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LCM of 358, 424, 861, 612, 615

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


Find the LCM of 358, 424, 861, 612, 615 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 358, 424, 861, 612, 615. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,424,861,612,615

Given numbers are 358,424,861,612,615

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

The LCM of 358,424,861,612,615 is 16663346280.

Find LCM of 358,424,861,612,615 with Prime Factorization


2 358, 424, 861, 612, 615
2 179, 212, 861, 306, 615
3 179, 106, 861, 153, 615
41 179, 106, 287, 51, 205
179, 106, 7, 51, 5

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

2 x 2 x 3 x 41 x 179 x 106 x 7 x 51 x 5 = 16663346280

Therefore, the lowest common multiple of 358,424,861,612,615 is 16663346280.

LCM Formula to Find Lowest Common Multiple of 358,424,861,612,615

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.

358 x 424 x 861 x 612 x 615 = 49190198218560

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.

358 : 1, 2, 179, 358

424 : 1, 2, 4, 8, 53, 106, 212, 424

861 : 1, 3, 7, 21, 41, 123, 287, 861

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

615 : 1, 3, 5, 15, 41, 123, 205, 615

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,424,861,612,615, is 1.

Now, the common factors can be found like this.

358:2x 179

424:2x 2x 2x 53

861:3x 7x 41

612:2x 2x 3x 3x 17

615:3x 5x 41

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 3x 3x 41 = 2952

Therefore, the value for common factors is 2952.

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 = 49190198218560/(1x2952)

LCM = 49190198218560/2952

LCM = 16663346280

Thus, we can understand that the LCM of 358,424,861,612,615 is 16663346280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 358, 424, 861, 612, 615

1. What is the LCM of 358, 424, 861, 612, 615?

Answer: LCM of 358, 424, 861, 612, 615 is 16663346280.

2. How to calculate the LCM of 358, 424, 861, 612, 615?

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 358, 424, 861, 612, 615.

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}.