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LCM of 791, 516, 927, 949, 685

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


Find the LCM of 791, 516, 927, 949, 685 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 791, 516, 927, 949, 685. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 791,516,927,949,685

Given numbers are 791,516,927,949,685

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

The LCM of 791,516,927,949,685 is 81986330413260.

Find LCM of 791,516,927,949,685 with Prime Factorization


3 791, 516, 927, 949, 685
791, 172, 309, 949, 685

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

3 x 791 x 172 x 309 x 949 x 685 = 81986330413260

Therefore, the lowest common multiple of 791,516,927,949,685 is 81986330413260.

LCM Formula to Find Lowest Common Multiple of 791,516,927,949,685

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.

791 x 516 x 927 x 949 x 685 = 245958991239780

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.

791 : 1, 7, 113, 791

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

927 : 1, 3, 9, 103, 309, 927

949 : 1, 13, 73, 949

685 : 1, 5, 137, 685

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,516,927,949,685, is 1.

Now, the common factors can be found like this.

791:7x 113

516:2x 2x 3x 43

927:3x 3x 103

949:13x 73

685:5x 137

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

3 = 3

Therefore, the value for common factors is 3.

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 = 245958991239780/(1x3)

LCM = 245958991239780/3

LCM = 81986330413260

Thus, we can understand that the LCM of 791,516,927,949,685 is 81986330413260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 791, 516, 927, 949, 685

1. What is the LCM of 791, 516, 927, 949, 685?

Answer: LCM of 791, 516, 927, 949, 685 is 81986330413260.

2. How to calculate the LCM of 791, 516, 927, 949, 685?

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 791, 516, 927, 949, 685.

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}.