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LCM of 639, 577, 124, 988, 318

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


Find the LCM of 639, 577, 124, 988, 318 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 639, 577, 124, 988, 318. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 639,577,124,988,318

Given numbers are 639,577,124,988,318

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

The LCM of 639,577,124,988,318 is 598509680652.

Find LCM of 639,577,124,988,318 with Prime Factorization


2 639, 577, 124, 988, 318
2 639, 577, 62, 494, 159
3 639, 577, 31, 247, 159
213, 577, 31, 247, 53

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

2 x 2 x 3 x 213 x 577 x 31 x 247 x 53 = 598509680652

Therefore, the lowest common multiple of 639,577,124,988,318 is 598509680652.

LCM Formula to Find Lowest Common Multiple of 639,577,124,988,318

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.

639 x 577 x 124 x 988 x 318 = 14364232335648

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.

639 : 1, 3, 9, 71, 213, 639

577 : 1, 577

124 : 1, 2, 4, 31, 62, 124

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,577,124,988,318, is 1.

Now, the common factors can be found like this.

639:3x 3x 71

577:577

124:2x 2x 31

988:2x 2x 13x 19

318:2x 3x 53

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 3 = 24

Therefore, the value for common factors is 24.

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 = 14364232335648/(1x24)

LCM = 14364232335648/24

LCM = 598509680652

Thus, we can understand that the LCM of 639,577,124,988,318 is 598509680652.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 639, 577, 124, 988, 318

1. What is the LCM of 639, 577, 124, 988, 318?

Answer: LCM of 639, 577, 124, 988, 318 is 598509680652.

2. How to calculate the LCM of 639, 577, 124, 988, 318?

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 639, 577, 124, 988, 318.

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}.