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LCM of 832, 451, 353, 635, 117

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


Find the LCM of 832, 451, 353, 635, 117 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 832, 451, 353, 635, 117. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 832,451,353,635,117

Given numbers are 832,451,353,635,117

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

The LCM of 832,451,353,635,117 is 756991160640.

Find LCM of 832,451,353,635,117 with Prime Factorization


13 832, 451, 353, 635, 117
64, 451, 353, 635, 9

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

13 x 64 x 451 x 353 x 635 x 9 = 756991160640

Therefore, the lowest common multiple of 832,451,353,635,117 is 756991160640.

LCM Formula to Find Lowest Common Multiple of 832,451,353,635,117

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.

832 x 451 x 353 x 635 x 117 = 9840885088320

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.

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

451 : 1, 11, 41, 451

353 : 1, 353

635 : 1, 5, 127, 635

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,451,353,635,117, is 1.

Now, the common factors can be found like this.

832:2x 2x 2x 2x 2x 2x 13

451:11x 41

353:353

635:5x 127

117:3x 3x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 9840885088320/(1x13)

LCM = 9840885088320/13

LCM = 756991160640

Thus, we can understand that the LCM of 832,451,353,635,117 is 756991160640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 832, 451, 353, 635, 117

1. What is the LCM of 832, 451, 353, 635, 117?

Answer: LCM of 832, 451, 353, 635, 117 is 756991160640.

2. How to calculate the LCM of 832, 451, 353, 635, 117?

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 832, 451, 353, 635, 117.

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}.