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LCM of 756, 171, 678, 932, 231

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


Find the LCM of 756, 171, 678, 932, 231 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 756, 171, 678, 932, 231. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 756,171,678,932,231

Given numbers are 756,171,678,932,231

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

The LCM of 756,171,678,932,231 is 4160087316.

Find LCM of 756,171,678,932,231 with Prime Factorization


2 756, 171, 678, 932, 231
2 378, 171, 339, 466, 231
3 189, 171, 339, 233, 231
3 63, 57, 113, 233, 77
7 21, 19, 113, 233, 77
3, 19, 113, 233, 11

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

2 x 2 x 3 x 3 x 7 x 3 x 19 x 113 x 233 x 11 = 4160087316

Therefore, the lowest common multiple of 756,171,678,932,231 is 4160087316.

LCM Formula to Find Lowest Common Multiple of 756,171,678,932,231

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.

756 x 171 x 678 x 932 x 231 = 18870156065376

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

171 : 1, 3, 9, 19, 57, 171

678 : 1, 2, 3, 6, 113, 226, 339, 678

932 : 1, 2, 4, 233, 466, 932

231 : 1, 3, 7, 11, 21, 33, 77, 231

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,171,678,932,231, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

171:3x 3x 19

678:2x 3x 113

932:2x 2x 233

231:3x 7x 11

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 3x 3x 7 = 4536

Therefore, the value for common factors is 4536.

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 = 18870156065376/(1x4536)

LCM = 18870156065376/4536

LCM = 4160087316

Thus, we can understand that the LCM of 756,171,678,932,231 is 4160087316.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 756, 171, 678, 932, 231

1. What is the LCM of 756, 171, 678, 932, 231?

Answer: LCM of 756, 171, 678, 932, 231 is 4160087316.

2. How to calculate the LCM of 756, 171, 678, 932, 231?

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 756, 171, 678, 932, 231.

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}.