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LCM of 121, 656, 176, 856

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


Find the LCM of 121, 656, 176, 856 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 121, 656, 176, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 121,656,176,856

Given numbers are 121,656,176,856

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

The LCM of 121,656,176,856 is 8493232.

Find LCM of 121,656,176,856 with Prime Factorization


2 121, 656, 176, 856
2 121, 328, 88, 428
2 121, 164, 44, 214
2 121, 82, 22, 107
11 121, 41, 11, 107
1, 41, 11, 107

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

2 x 2 x 2 x 2 x 11 x 1 x 41 x 11 x 107 = 8493232

Therefore, the lowest common multiple of 121,656,176,856 is 8493232.

LCM Formula to Find Lowest Common Multiple of 121,656,176,856

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.

121 x 656 x 176 x 856 = 11958470656

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.

121 : 1, 11, 121

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

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

856 : 1, 2, 4, 8, 107, 214, 428, 856

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,656,176,856, is 1.

Now, the common factors can be found like this.

121:11x 11

656:2x 2x 2x 2x 41

176:2x 2x 2x 2x 11

856:2x 2x 2x 107

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 2x 2x 11 = 1408

Therefore, the value for common factors is 1408.

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 = 11958470656/(1x1408)

LCM = 11958470656/1408

LCM = 8493232

Thus, we can understand that the LCM of 121,656,176,856 is 8493232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 121, 656, 176, 856

1. What is the LCM of 121, 656, 176, 856?

Answer: LCM of 121, 656, 176, 856 is 8493232.

2. How to calculate the LCM of 121, 656, 176, 856?

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 121, 656, 176, 856.

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}.