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LCM of 341, 517, 109, 364

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


Find the LCM of 341, 517, 109, 364 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 341, 517, 109, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,517,109,364

Given numbers are 341,517,109,364

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

The LCM of 341,517,109,364 is 635887252.

Find LCM of 341,517,109,364 with Prime Factorization


11 341, 517, 109, 364
31, 47, 109, 364

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

11 x 31 x 47 x 109 x 364 = 635887252

Therefore, the lowest common multiple of 341,517,109,364 is 635887252.

LCM Formula to Find Lowest Common Multiple of 341,517,109,364

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.

341 x 517 x 109 x 364 = 6994759772

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.

341 : 1, 11, 31, 341

517 : 1, 11, 47, 517

109 : 1, 109

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,517,109,364, is 1.

Now, the common factors can be found like this.

341:11x 31

517:11x 47

109:109

364:2x 2x 7x 13

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

11 = 11

Therefore, the value for common factors is 11.

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 = 6994759772/(1x11)

LCM = 6994759772/11

LCM = 635887252

Thus, we can understand that the LCM of 341,517,109,364 is 635887252.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 517, 109, 364

1. What is the LCM of 341, 517, 109, 364?

Answer: LCM of 341, 517, 109, 364 is 635887252.

2. How to calculate the LCM of 341, 517, 109, 364?

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 341, 517, 109, 364.

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}.