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LCM of 731, 500, 940, 715

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


Find the LCM of 731, 500, 940, 715 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 731, 500, 940, 715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,500,940,715

Given numbers are 731,500,940,715

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

The LCM of 731,500,940,715 is 2456525500.

Find LCM of 731,500,940,715 with Prime Factorization


2 731, 500, 940, 715
2 731, 250, 470, 715
5 731, 125, 235, 715
731, 25, 47, 143

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

2 x 2 x 5 x 731 x 25 x 47 x 143 = 2456525500

Therefore, the lowest common multiple of 731,500,940,715 is 2456525500.

LCM Formula to Find Lowest Common Multiple of 731,500,940,715

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.

731 x 500 x 940 x 715 = 245652550000

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.

731 : 1, 17, 43, 731

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,500,940,715, is 1.

Now, the common factors can be found like this.

731:17x 43

500:2x 2x 5x 5x 5

940:2x 2x 5x 47

715:5x 11x 13

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 245652550000/(1x100)

LCM = 245652550000/100

LCM = 2456525500

Thus, we can understand that the LCM of 731,500,940,715 is 2456525500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 500, 940, 715

1. What is the LCM of 731, 500, 940, 715?

Answer: LCM of 731, 500, 940, 715 is 2456525500.

2. How to calculate the LCM of 731, 500, 940, 715?

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 731, 500, 940, 715.

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}.