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LCM of 981, 689, 932, 130

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


Find the LCM of 981, 689, 932, 130 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 981, 689, 932, 130. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 981,689,932,130

Given numbers are 981,689,932,130

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

The LCM of 981,689,932,130 is 3149735940.

Find LCM of 981,689,932,130 with Prime Factorization


2 981, 689, 932, 130
13 981, 689, 466, 65
981, 53, 466, 5

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

2 x 13 x 981 x 53 x 466 x 5 = 3149735940

Therefore, the lowest common multiple of 981,689,932,130 is 3149735940.

LCM Formula to Find Lowest Common Multiple of 981,689,932,130

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.

981 x 689 x 932 x 130 = 81893134440

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.

981 : 1, 3, 9, 109, 327, 981

689 : 1, 13, 53, 689

932 : 1, 2, 4, 233, 466, 932

130 : 1, 2, 5, 10, 13, 26, 65, 130

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,689,932,130, is 1.

Now, the common factors can be found like this.

981:3x 3x 109

689:13x 53

932:2x 2x 233

130:2x 5x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 81893134440/(1x26)

LCM = 81893134440/26

LCM = 3149735940

Thus, we can understand that the LCM of 981,689,932,130 is 3149735940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 981, 689, 932, 130

1. What is the LCM of 981, 689, 932, 130?

Answer: LCM of 981, 689, 932, 130 is 3149735940.

2. How to calculate the LCM of 981, 689, 932, 130?

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 981, 689, 932, 130.

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}.