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LCM of 220, 231, 913, 932

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


Find the LCM of 220, 231, 913, 932 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 220, 231, 913, 932. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 220,231,913,932

Given numbers are 220,231,913,932

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

The LCM of 220,231,913,932 is 89346180.

Find LCM of 220,231,913,932 with Prime Factorization


2 220, 231, 913, 932
2 110, 231, 913, 466
11 55, 231, 913, 233
5, 21, 83, 233

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

2 x 2 x 11 x 5 x 21 x 83 x 233 = 89346180

Therefore, the lowest common multiple of 220,231,913,932 is 89346180.

LCM Formula to Find Lowest Common Multiple of 220,231,913,932

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.

220 x 231 x 913 x 932 = 43243551120

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.

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

231 : 1, 3, 7, 11, 21, 33, 77, 231

913 : 1, 11, 83, 913

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,231,913,932, is 1.

Now, the common factors can be found like this.

220:2x 2x 5x 11

231:3x 7x 11

913:11x 83

932:2x 2x 233

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 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 43243551120/(1x484)

LCM = 43243551120/484

LCM = 89346180

Thus, we can understand that the LCM of 220,231,913,932 is 89346180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 220, 231, 913, 932

1. What is the LCM of 220, 231, 913, 932?

Answer: LCM of 220, 231, 913, 932 is 89346180.

2. How to calculate the LCM of 220, 231, 913, 932?

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 220, 231, 913, 932.

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}.