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LCM of 180, 806, 496, 671, 117

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


Find the LCM of 180, 806, 496, 671, 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 180, 806, 496, 671, 117. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 180,806,496,671,117

Given numbers are 180,806,496,671,117

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

The LCM of 180,806,496,671,117 is 194697360.

Find LCM of 180,806,496,671,117 with Prime Factorization


2 180, 806, 496, 671, 117
2 90, 403, 248, 671, 117
3 45, 403, 124, 671, 117
3 15, 403, 124, 671, 39
13 5, 403, 124, 671, 13
31 5, 31, 124, 671, 1
5, 1, 4, 671, 1

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

2 x 2 x 3 x 3 x 13 x 31 x 5 x 1 x 4 x 671 x 1 = 194697360

Therefore, the lowest common multiple of 180,806,496,671,117 is 194697360.

LCM Formula to Find Lowest Common Multiple of 180,806,496,671,117

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.

180 x 806 x 496 x 671 x 117 = 5649338597760

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.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

806 : 1, 2, 13, 26, 31, 62, 403, 806

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

671 : 1, 11, 61, 671

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 180,806,496,671,117, is 1.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

806:2x 13x 31

496:2x 2x 2x 2x 31

671:11x 61

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.

2x 2x 2x 3x 3x 13x 31 = 29016

Therefore, the value for common factors is 29016.

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 = 5649338597760/(1x29016)

LCM = 5649338597760/29016

LCM = 194697360

Thus, we can understand that the LCM of 180,806,496,671,117 is 194697360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 180, 806, 496, 671, 117

1. What is the LCM of 180, 806, 496, 671, 117?

Answer: LCM of 180, 806, 496, 671, 117 is 194697360.

2. How to calculate the LCM of 180, 806, 496, 671, 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 180, 806, 496, 671, 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}.