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LCM of 376, 949, 713, 217, 579

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


Find the LCM of 376, 949, 713, 217, 579 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 376, 949, 713, 217, 579. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 376,949,713,217,579

Given numbers are 376,949,713,217,579

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

The LCM of 376,949,713,217,579 is 1031146070136.

Find LCM of 376,949,713,217,579 with Prime Factorization


31 376, 949, 713, 217, 579
376, 949, 23, 7, 579

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

31 x 376 x 949 x 23 x 7 x 579 = 1031146070136

Therefore, the lowest common multiple of 376,949,713,217,579 is 1031146070136.

LCM Formula to Find Lowest Common Multiple of 376,949,713,217,579

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.

376 x 949 x 713 x 217 x 579 = 31965528174216

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.

376 : 1, 2, 4, 8, 47, 94, 188, 376

949 : 1, 13, 73, 949

713 : 1, 23, 31, 713

217 : 1, 7, 31, 217

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,949,713,217,579, is 1.

Now, the common factors can be found like this.

376:2x 2x 2x 47

949:13x 73

713:23x 31

217:7x 31

579:3x 193

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

31 = 31

Therefore, the value for common factors is 31.

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 = 31965528174216/(1x31)

LCM = 31965528174216/31

LCM = 1031146070136

Thus, we can understand that the LCM of 376,949,713,217,579 is 1031146070136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 376, 949, 713, 217, 579

1. What is the LCM of 376, 949, 713, 217, 579?

Answer: LCM of 376, 949, 713, 217, 579 is 1031146070136.

2. How to calculate the LCM of 376, 949, 713, 217, 579?

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 376, 949, 713, 217, 579.

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}.