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LCM of 940, 367, 156, 715, 920

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


Find the LCM of 940, 367, 156, 715, 920 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 940, 367, 156, 715, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 940,367,156,715,920

Given numbers are 940,367,156,715,920

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

The LCM of 940,367,156,715,920 is 6807835320.

Find LCM of 940,367,156,715,920 with Prime Factorization


2 940, 367, 156, 715, 920
2 470, 367, 78, 715, 460
5 235, 367, 39, 715, 230
13 47, 367, 39, 143, 46
47, 367, 3, 11, 46

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

2 x 2 x 5 x 13 x 47 x 367 x 3 x 11 x 46 = 6807835320

Therefore, the lowest common multiple of 940,367,156,715,920 is 6807835320.

LCM Formula to Find Lowest Common Multiple of 940,367,156,715,920

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.

940 x 367 x 156 x 715 x 920 = 35400743664000

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.

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

367 : 1, 367

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,367,156,715,920, is 1.

Now, the common factors can be found like this.

940:2x 2x 5x 47

367:367

156:2x 2x 3x 13

715:5x 11x 13

920:2x 2x 2x 5x 23

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 5x 5x 13 = 5200

Therefore, the value for common factors is 5200.

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 = 35400743664000/(1x5200)

LCM = 35400743664000/5200

LCM = 6807835320

Thus, we can understand that the LCM of 940,367,156,715,920 is 6807835320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 940, 367, 156, 715, 920

1. What is the LCM of 940, 367, 156, 715, 920?

Answer: LCM of 940, 367, 156, 715, 920 is 6807835320.

2. How to calculate the LCM of 940, 367, 156, 715, 920?

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 940, 367, 156, 715, 920.

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}.