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LCM of 163, 731, 516, 856, 724

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


Find the LCM of 163, 731, 516, 856, 724 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 163, 731, 516, 856, 724. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 163,731,516,856,724

Given numbers are 163,731,516,856,724

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

The LCM of 163,731,516,856,724 is 55383267624.

Find LCM of 163,731,516,856,724 with Prime Factorization


2 163, 731, 516, 856, 724
2 163, 731, 258, 428, 362
43 163, 731, 129, 214, 181
163, 17, 3, 214, 181

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

2 x 2 x 43 x 163 x 17 x 3 x 214 x 181 = 55383267624

Therefore, the lowest common multiple of 163,731,516,856,724 is 55383267624.

LCM Formula to Find Lowest Common Multiple of 163,731,516,856,724

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.

163 x 731 x 516 x 856 x 724 = 38103688125312

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.

163 : 1, 163

731 : 1, 17, 43, 731

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

856 : 1, 2, 4, 8, 107, 214, 428, 856

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,731,516,856,724, is 1.

Now, the common factors can be found like this.

163:163

731:17x 43

516:2x 2x 3x 43

856:2x 2x 2x 107

724:2x 2x 181

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 43 = 688

Therefore, the value for common factors is 688.

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 = 38103688125312/(1x688)

LCM = 38103688125312/688

LCM = 55383267624

Thus, we can understand that the LCM of 163,731,516,856,724 is 55383267624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 163, 731, 516, 856, 724

1. What is the LCM of 163, 731, 516, 856, 724?

Answer: LCM of 163, 731, 516, 856, 724 is 55383267624.

2. How to calculate the LCM of 163, 731, 516, 856, 724?

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 163, 731, 516, 856, 724.

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}.