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LCM of 163, 832, 735, 574, 656

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


Find the LCM of 163, 832, 735, 574, 656 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 163, 832, 735, 574, 656. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 163,832,735,574,656

Given numbers are 163,832,735,574,656

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

The LCM of 163,832,735,574,656 is 4086788160.

Find LCM of 163,832,735,574,656 with Prime Factorization


2 163, 832, 735, 574, 656
2 163, 416, 735, 287, 328
2 163, 208, 735, 287, 164
2 163, 104, 735, 287, 82
7 163, 52, 735, 287, 41
41 163, 52, 105, 41, 41
163, 52, 105, 1, 1

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

2 x 2 x 2 x 2 x 7 x 41 x 163 x 52 x 105 x 1 x 1 = 4086788160

Therefore, the lowest common multiple of 163,832,735,574,656 is 4086788160.

LCM Formula to Find Lowest Common Multiple of 163,832,735,574,656

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.

163 x 832 x 735 x 574 x 656 = 37533062461440

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.

163 : 1, 163

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

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

574 : 1, 2, 7, 14, 41, 82, 287, 574

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,832,735,574,656, is 1.

Now, the common factors can be found like this.

163:163

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

735:3x 5x 7x 7

574:2x 7x 41

656:2x 2x 2x 2x 41

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 7x 41 = 9184

Therefore, the value for common factors is 9184.

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 = 37533062461440/(1x9184)

LCM = 37533062461440/9184

LCM = 4086788160

Thus, we can understand that the LCM of 163,832,735,574,656 is 4086788160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 163, 832, 735, 574, 656

1. What is the LCM of 163, 832, 735, 574, 656?

Answer: LCM of 163, 832, 735, 574, 656 is 4086788160.

2. How to calculate the LCM of 163, 832, 735, 574, 656?

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 163, 832, 735, 574, 656.

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}.