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LCM of 976, 461, 794, 379

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


Find the LCM of 976, 461, 794, 379 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 976, 461, 794, 379. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 976,461,794,379

Given numbers are 976,461,794,379

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

The LCM of 976,461,794,379 is 67698720368.

Find LCM of 976,461,794,379 with Prime Factorization


2 976, 461, 794, 379
488, 461, 397, 379

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

2 x 488 x 461 x 397 x 379 = 67698720368

Therefore, the lowest common multiple of 976,461,794,379 is 67698720368.

LCM Formula to Find Lowest Common Multiple of 976,461,794,379

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.

976 x 461 x 794 x 379 = 135397440736

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.

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

461 : 1, 461

794 : 1, 2, 397, 794

379 : 1, 379

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,461,794,379, is 1.

Now, the common factors can be found like this.

976:2x 2x 2x 2x 61

461:461

794:2x 397

379:379

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

2 = 2

Therefore, the value for common factors is 2.

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 = 135397440736/(1x2)

LCM = 135397440736/2

LCM = 67698720368

Thus, we can understand that the LCM of 976,461,794,379 is 67698720368.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 976, 461, 794, 379

1. What is the LCM of 976, 461, 794, 379?

Answer: LCM of 976, 461, 794, 379 is 67698720368.

2. How to calculate the LCM of 976, 461, 794, 379?

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 976, 461, 794, 379.

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}.