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LCM of 461, 517, 704, 587

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


Find the LCM of 461, 517, 704, 587 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 461, 517, 704, 587. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 461,517,704,587

Given numbers are 461,517,704,587

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

The LCM of 461,517,704,587 is 8953844416.

Find LCM of 461,517,704,587 with Prime Factorization


11 461, 517, 704, 587
461, 47, 64, 587

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

11 x 461 x 47 x 64 x 587 = 8953844416

Therefore, the lowest common multiple of 461,517,704,587 is 8953844416.

LCM Formula to Find Lowest Common Multiple of 461,517,704,587

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.

461 x 517 x 704 x 587 = 98492288576

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.

461 : 1, 461

517 : 1, 11, 47, 517

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

587 : 1, 587

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,517,704,587, is 1.

Now, the common factors can be found like this.

461:461

517:11x 47

704:2x 2x 2x 2x 2x 2x 11

587:587

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 = 98492288576/(1x11)

LCM = 98492288576/11

LCM = 8953844416

Thus, we can understand that the LCM of 461,517,704,587 is 8953844416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 461, 517, 704, 587

1. What is the LCM of 461, 517, 704, 587?

Answer: LCM of 461, 517, 704, 587 is 8953844416.

2. How to calculate the LCM of 461, 517, 704, 587?

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 461, 517, 704, 587.

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}.