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LCM of 108, 486, 979, 961, 545

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


Find the LCM of 108, 486, 979, 961, 545 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 108, 486, 979, 961, 545. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 108,486,979,961,545

Given numbers are 108,486,979,961,545

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

The LCM of 108,486,979,961,545 is 498389457060.

Find LCM of 108,486,979,961,545 with Prime Factorization


2 108, 486, 979, 961, 545
3 54, 243, 979, 961, 545
3 18, 81, 979, 961, 545
3 6, 27, 979, 961, 545
2, 9, 979, 961, 545

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

2 x 3 x 3 x 3 x 2 x 9 x 979 x 961 x 545 = 498389457060

Therefore, the lowest common multiple of 108,486,979,961,545 is 498389457060.

LCM Formula to Find Lowest Common Multiple of 108,486,979,961,545

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.

108 x 486 x 979 x 961 x 545 = 26913030681240

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.

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

979 : 1, 11, 89, 979

961 : 1, 31, 961

545 : 1, 5, 109, 545

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,486,979,961,545, is 1.

Now, the common factors can be found like this.

108:2x 2x 3x 3x 3

486:2x 3x 3x 3x 3x 3

979:11x 89

961:31x 31

545:5x 109

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 26913030681240/(1x54)

LCM = 26913030681240/54

LCM = 498389457060

Thus, we can understand that the LCM of 108,486,979,961,545 is 498389457060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 108, 486, 979, 961, 545

1. What is the LCM of 108, 486, 979, 961, 545?

Answer: LCM of 108, 486, 979, 961, 545 is 498389457060.

2. How to calculate the LCM of 108, 486, 979, 961, 545?

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 108, 486, 979, 961, 545.

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}.