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LCM of 932, 179, 205, 779, 985

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


Find the LCM of 932, 179, 205, 779, 985 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 932, 179, 205, 779, 985. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 932,179,205,779,985

Given numbers are 932,179,205,779,985

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

The LCM of 932,179,205,779,985 is 128009626820.

Find LCM of 932,179,205,779,985 with Prime Factorization


5 932, 179, 205, 779, 985
41 932, 179, 41, 779, 197
932, 179, 1, 19, 197

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

5 x 41 x 932 x 179 x 1 x 19 x 197 = 128009626820

Therefore, the lowest common multiple of 932,179,205,779,985 is 128009626820.

LCM Formula to Find Lowest Common Multiple of 932,179,205,779,985

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.

932 x 179 x 205 x 779 x 985 = 26241973498100

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.

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

179 : 1, 179

205 : 1, 5, 41, 205

779 : 1, 19, 41, 779

985 : 1, 5, 197, 985

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,179,205,779,985, is 1.

Now, the common factors can be found like this.

932:2x 2x 233

179:179

205:5x 41

779:19x 41

985:5x 197

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

5x 41 = 205

Therefore, the value for common factors is 205.

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 = 26241973498100/(1x205)

LCM = 26241973498100/205

LCM = 128009626820

Thus, we can understand that the LCM of 932,179,205,779,985 is 128009626820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 932, 179, 205, 779, 985

1. What is the LCM of 932, 179, 205, 779, 985?

Answer: LCM of 932, 179, 205, 779, 985 is 128009626820.

2. How to calculate the LCM of 932, 179, 205, 779, 985?

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 932, 179, 205, 779, 985.

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}.