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LCM of 617, 508, 127, 521, 983

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


Find the LCM of 617, 508, 127, 521, 983 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, 508, 127, 521, 983. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 617,508,127,521,983

Given numbers are 617,508,127,521,983

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

The LCM of 617,508,127,521,983 is 160524053348.

Find LCM of 617,508,127,521,983 with Prime Factorization


127 617, 508, 127, 521, 983
617, 4, 1, 521, 983

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

127 x 617 x 4 x 1 x 521 x 983 = 160524053348

Therefore, the lowest common multiple of 617,508,127,521,983 is 160524053348.

LCM Formula to Find Lowest Common Multiple of 617,508,127,521,983

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 508 x 127 x 521 x 983 = 20386554775196

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

508 : 1, 2, 4, 127, 254, 508

127 : 1, 127

521 : 1, 521

983 : 1, 983

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,508,127,521,983, is 1.

Now, the common factors can be found like this.

617:617

508:2x 2x 127

127:127

521:521

983:983

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

127 = 127

Therefore, the value for common factors is 127.

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 = 20386554775196/(1x127)

LCM = 20386554775196/127

LCM = 160524053348

Thus, we can understand that the LCM of 617,508,127,521,983 is 160524053348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 617, 508, 127, 521, 983

1. What is the LCM of 617, 508, 127, 521, 983?

Answer: LCM of 617, 508, 127, 521, 983 is 160524053348.

2. How to calculate the LCM of 617, 508, 127, 521, 983?

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, 508, 127, 521, 983.

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}.