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LCM of 953, 165, 517, 376

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


Find the LCM of 953, 165, 517, 376 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 953, 165, 517, 376. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 953,165,517,376

Given numbers are 953,165,517,376

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

The LCM of 953,165,517,376 is 59124120.

Find LCM of 953,165,517,376 with Prime Factorization


11 953, 165, 517, 376
47 953, 15, 47, 376
953, 15, 1, 8

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

11 x 47 x 953 x 15 x 1 x 8 = 59124120

Therefore, the lowest common multiple of 953,165,517,376 is 59124120.

LCM Formula to Find Lowest Common Multiple of 953,165,517,376

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.

953 x 165 x 517 x 376 = 30567170040

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.

953 : 1, 953

165 : 1, 3, 5, 11, 15, 33, 55, 165

517 : 1, 11, 47, 517

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,165,517,376, is 1.

Now, the common factors can be found like this.

953:953

165:3x 5x 11

517:11x 47

376:2x 2x 2x 47

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

11x 47 = 517

Therefore, the value for common factors is 517.

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 = 30567170040/(1x517)

LCM = 30567170040/517

LCM = 59124120

Thus, we can understand that the LCM of 953,165,517,376 is 59124120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 953, 165, 517, 376

1. What is the LCM of 953, 165, 517, 376?

Answer: LCM of 953, 165, 517, 376 is 59124120.

2. How to calculate the LCM of 953, 165, 517, 376?

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 953, 165, 517, 376.

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}.