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LCM of 913, 178, 755, 359, 220

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


Find the LCM of 913, 178, 755, 359, 220 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 913, 178, 755, 359, 220. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 913,178,755,359,220

Given numbers are 913,178,755,359,220

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

The LCM of 913,178,755,359,220 is 88097214260.

Find LCM of 913,178,755,359,220 with Prime Factorization


2 913, 178, 755, 359, 220
5 913, 89, 755, 359, 110
11 913, 89, 151, 359, 22
83, 89, 151, 359, 2

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

2 x 5 x 11 x 83 x 89 x 151 x 359 x 2 = 88097214260

Therefore, the lowest common multiple of 913,178,755,359,220 is 88097214260.

LCM Formula to Find Lowest Common Multiple of 913,178,755,359,220

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.

913 x 178 x 755 x 359 x 220 = 9690693568600

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.

913 : 1, 11, 83, 913

178 : 1, 2, 89, 178

755 : 1, 5, 151, 755

359 : 1, 359

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,178,755,359,220, is 1.

Now, the common factors can be found like this.

913:11x 83

178:2x 89

755:5x 151

359:359

220:2x 2x 5x 11

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

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 9690693568600/(1x110)

LCM = 9690693568600/110

LCM = 88097214260

Thus, we can understand that the LCM of 913,178,755,359,220 is 88097214260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 913, 178, 755, 359, 220

1. What is the LCM of 913, 178, 755, 359, 220?

Answer: LCM of 913, 178, 755, 359, 220 is 88097214260.

2. How to calculate the LCM of 913, 178, 755, 359, 220?

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 913, 178, 755, 359, 220.

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}.