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LCM of 517, 418, 732

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


Find the LCM of 517, 418, 732 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, 418, 732. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,418,732

Given numbers are 517,418,732

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

The LCM of 517,418,732 is 7190436.

Find LCM of 517,418,732 with Prime Factorization


2 517, 418, 732
11 517, 209, 366
47, 19, 366

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

2 x 11 x 47 x 19 x 366 = 7190436

Therefore, the lowest common multiple of 517,418,732 is 7190436.

LCM Formula to Find Lowest Common Multiple of 517,418,732

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 418 x 732 = 158189592

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,418,732, is 1.

Now, the common factors can be found like this.

517:11x 47

418:2x 11x 19

732:2x 2x 3x 61

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 158189592/(1x22)

LCM = 158189592/22

LCM = 7190436

Thus, we can understand that the LCM of 517,418,732 is 7190436.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 517, 418, 732

1. What is the LCM of 517, 418, 732?

Answer: LCM of 517, 418, 732 is 7190436.

2. How to calculate the LCM of 517, 418, 732?

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, 418, 732.

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}.