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LCM of 617, 146, 864, 657

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


Find the LCM of 617, 146, 864, 657 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 617, 146, 864, 657. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 617,146,864,657

Given numbers are 617,146,864,657

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

The LCM of 617,146,864,657 is 38915424.

Find LCM of 617,146,864,657 with Prime Factorization


2 617, 146, 864, 657
3 617, 73, 432, 657
3 617, 73, 144, 219
73 617, 73, 48, 73
617, 1, 48, 1

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

2 x 3 x 3 x 73 x 617 x 1 x 48 x 1 = 38915424

Therefore, the lowest common multiple of 617,146,864,657 is 38915424.

LCM Formula to Find Lowest Common Multiple of 617,146,864,657

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.

617 x 146 x 864 x 657 = 51134867136

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.

617 : 1, 617

146 : 1, 2, 73, 146

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

657 : 1, 3, 9, 73, 219, 657

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,146,864,657, is 1.

Now, the common factors can be found like this.

617:617

146:2x 73

864:2x 2x 2x 2x 2x 3x 3x 3

657:3x 3x 73

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

2x 3x 3x 73 = 1314

Therefore, the value for common factors is 1314.

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 = 51134867136/(1x1314)

LCM = 51134867136/1314

LCM = 38915424

Thus, we can understand that the LCM of 617,146,864,657 is 38915424.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 617, 146, 864, 657

1. What is the LCM of 617, 146, 864, 657?

Answer: LCM of 617, 146, 864, 657 is 38915424.

2. How to calculate the LCM of 617, 146, 864, 657?

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 617, 146, 864, 657.

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}.