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LCM of 516, 129, 618, 988, 372

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


Find the LCM of 516, 129, 618, 988, 372 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 516, 129, 618, 988, 372. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 516,129,618,988,372

Given numbers are 516,129,618,988,372

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

The LCM of 516,129,618,988,372 is 406954236.

Find LCM of 516,129,618,988,372 with Prime Factorization


2 516, 129, 618, 988, 372
2 258, 129, 309, 494, 186
3 129, 129, 309, 247, 93
43 43, 43, 103, 247, 31
1, 1, 103, 247, 31

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

2 x 2 x 3 x 43 x 1 x 1 x 103 x 247 x 31 = 406954236

Therefore, the lowest common multiple of 516,129,618,988,372 is 406954236.

LCM Formula to Find Lowest Common Multiple of 516,129,618,988,372

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.

516 x 129 x 618 x 988 x 372 = 15119163775872

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

129 : 1, 3, 43, 129

618 : 1, 2, 3, 6, 103, 206, 309, 618

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,129,618,988,372, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

129:3x 43

618:2x 3x 103

988:2x 2x 13x 19

372:2x 2x 3x 31

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 2x 2x 3x 3x 3x 43 = 37152

Therefore, the value for common factors is 37152.

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 = 15119163775872/(1x37152)

LCM = 15119163775872/37152

LCM = 406954236

Thus, we can understand that the LCM of 516,129,618,988,372 is 406954236.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 516, 129, 618, 988, 372

1. What is the LCM of 516, 129, 618, 988, 372?

Answer: LCM of 516, 129, 618, 988, 372 is 406954236.

2. How to calculate the LCM of 516, 129, 618, 988, 372?

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 516, 129, 618, 988, 372.

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}.