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LCM of 656, 953, 847, 451

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


Find the LCM of 656, 953, 847, 451 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 656, 953, 847, 451. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 656,953,847,451

Given numbers are 656,953,847,451

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

The LCM of 656,953,847,451 is 529517296.

Find LCM of 656,953,847,451 with Prime Factorization


11 656, 953, 847, 451
41 656, 953, 77, 41
16, 953, 77, 1

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

11 x 41 x 16 x 953 x 77 x 1 = 529517296

Therefore, the lowest common multiple of 656,953,847,451 is 529517296.

LCM Formula to Find Lowest Common Multiple of 656,953,847,451

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.

656 x 953 x 847 x 451 = 238812300496

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.

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

953 : 1, 953

847 : 1, 7, 11, 77, 121, 847

451 : 1, 11, 41, 451

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 656,953,847,451, is 1.

Now, the common factors can be found like this.

656:2x 2x 2x 2x 41

953:953

847:7x 11x 11

451:11x 41

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

11x 41 = 451

Therefore, the value for common factors is 451.

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 = 238812300496/(1x451)

LCM = 238812300496/451

LCM = 529517296

Thus, we can understand that the LCM of 656,953,847,451 is 529517296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 656, 953, 847, 451

1. What is the LCM of 656, 953, 847, 451?

Answer: LCM of 656, 953, 847, 451 is 529517296.

2. How to calculate the LCM of 656, 953, 847, 451?

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 656, 953, 847, 451.

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}.