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LCM of 932, 736, 932, 163, 355

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


Find the LCM of 932, 736, 932, 163, 355 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, 736, 932, 163, 355. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 932,736,932,163,355

Given numbers are 932,736,932,163,355

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

The LCM of 932,736,932,163,355 is 9923153120.

Find LCM of 932,736,932,163,355 with Prime Factorization


2 932, 736, 932, 163, 355
2 466, 368, 466, 163, 355
233 233, 184, 233, 163, 355
1, 184, 1, 163, 355

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

2 x 2 x 233 x 1 x 184 x 1 x 163 x 355 = 9923153120

Therefore, the lowest common multiple of 932,736,932,163,355 is 9923153120.

LCM Formula to Find Lowest Common Multiple of 932,736,932,163,355

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 736 x 932 x 163 x 355 = 36993514831360

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

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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

163 : 1, 163

355 : 1, 5, 71, 355

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,736,932,163,355, is 1.

Now, the common factors can be found like this.

932:2x 2x 233

736:2x 2x 2x 2x 2x 23

932:2x 2x 233

163:163

355:5x 71

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 233 = 3728

Therefore, the value for common factors is 3728.

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 = 36993514831360/(1x3728)

LCM = 36993514831360/3728

LCM = 9923153120

Thus, we can understand that the LCM of 932,736,932,163,355 is 9923153120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 932, 736, 932, 163, 355

1. What is the LCM of 932, 736, 932, 163, 355?

Answer: LCM of 932, 736, 932, 163, 355 is 9923153120.

2. How to calculate the LCM of 932, 736, 932, 163, 355?

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, 736, 932, 163, 355.

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}.