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LCM of 491, 782, 736, 115, 912

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


Find the LCM of 491, 782, 736, 115, 912 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 491, 782, 736, 115, 912. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 491,782,736,115,912

Given numbers are 491,782,736,115,912

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

The LCM of 491,782,736,115,912 is 1750866720.

Find LCM of 491,782,736,115,912 with Prime Factorization


2 491, 782, 736, 115, 912
2 491, 391, 368, 115, 456
2 491, 391, 184, 115, 228
2 491, 391, 92, 115, 114
23 491, 391, 46, 115, 57
491, 17, 2, 5, 57

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

2 x 2 x 2 x 2 x 23 x 491 x 17 x 2 x 5 x 57 = 1750866720

Therefore, the lowest common multiple of 491,782,736,115,912 is 1750866720.

LCM Formula to Find Lowest Common Multiple of 491,782,736,115,912

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.

491 x 782 x 736 x 115 x 912 = 29638671836160

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.

491 : 1, 491

782 : 1, 2, 17, 23, 34, 46, 391, 782

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

115 : 1, 5, 23, 115

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,782,736,115,912, is 1.

Now, the common factors can be found like this.

491:491

782:2x 17x 23

736:2x 2x 2x 2x 2x 23

115:5x 23

912:2x 2x 2x 2x 3x 19

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 2x 23x 23 = 16928

Therefore, the value for common factors is 16928.

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 = 29638671836160/(1x16928)

LCM = 29638671836160/16928

LCM = 1750866720

Thus, we can understand that the LCM of 491,782,736,115,912 is 1750866720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 491, 782, 736, 115, 912

1. What is the LCM of 491, 782, 736, 115, 912?

Answer: LCM of 491, 782, 736, 115, 912 is 1750866720.

2. How to calculate the LCM of 491, 782, 736, 115, 912?

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 491, 782, 736, 115, 912.

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}.