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LCM of 379, 379, 403, 577, 922

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


Find the LCM of 379, 379, 403, 577, 922 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 379, 379, 403, 577, 922. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 379,379,403,577,922

Given numbers are 379,379,403,577,922

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

The LCM of 379,379,403,577,922 is 81255167578.

Find LCM of 379,379,403,577,922 with Prime Factorization


379 379, 379, 403, 577, 922
1, 1, 403, 577, 922

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

379 x 1 x 1 x 403 x 577 x 922 = 81255167578

Therefore, the lowest common multiple of 379,379,403,577,922 is 81255167578.

LCM Formula to Find Lowest Common Multiple of 379,379,403,577,922

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.

379 x 379 x 403 x 577 x 922 = 30795708512062

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.

379 : 1, 379

379 : 1, 379

403 : 1, 13, 31, 403

577 : 1, 577

922 : 1, 2, 461, 922

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,379,403,577,922, is 1.

Now, the common factors can be found like this.

379:379

379:379

403:13x 31

577:577

922:2x 461

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

379 = 379

Therefore, the value for common factors is 379.

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 = 30795708512062/(1x379)

LCM = 30795708512062/379

LCM = 81255167578

Thus, we can understand that the LCM of 379,379,403,577,922 is 81255167578.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 379, 379, 403, 577, 922

1. What is the LCM of 379, 379, 403, 577, 922?

Answer: LCM of 379, 379, 403, 577, 922 is 81255167578.

2. How to calculate the LCM of 379, 379, 403, 577, 922?

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 379, 379, 403, 577, 922.

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}.