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LCM of 517, 299, 637, 312

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


Find the LCM of 517, 299, 637, 312 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 517, 299, 637, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,299,637,312

Given numbers are 517,299,637,312

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

The LCM of 517,299,637,312 is 181789608.

Find LCM of 517,299,637,312 with Prime Factorization


13 517, 299, 637, 312
517, 23, 49, 24

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

13 x 517 x 23 x 49 x 24 = 181789608

Therefore, the lowest common multiple of 517,299,637,312 is 181789608.

LCM Formula to Find Lowest Common Multiple of 517,299,637,312

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.

517 x 299 x 637 x 312 = 30722443752

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.

517 : 1, 11, 47, 517

299 : 1, 13, 23, 299

637 : 1, 7, 13, 49, 91, 637

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,299,637,312, is 1.

Now, the common factors can be found like this.

517:11x 47

299:13x 23

637:7x 7x 13

312:2x 2x 2x 3x 13

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 30722443752/(1x169)

LCM = 30722443752/169

LCM = 181789608

Thus, we can understand that the LCM of 517,299,637,312 is 181789608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 299, 637, 312

1. What is the LCM of 517, 299, 637, 312?

Answer: LCM of 517, 299, 637, 312 is 181789608.

2. How to calculate the LCM of 517, 299, 637, 312?

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 517, 299, 637, 312.

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}.