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LCM of 501, 328, 517, 564

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


Find the LCM of 501, 328, 517, 564 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 501, 328, 517, 564. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 501,328,517,564

Given numbers are 501,328,517,564

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

The LCM of 501,328,517,564 is 84957576.

Find LCM of 501,328,517,564 with Prime Factorization


2 501, 328, 517, 564
2 501, 164, 517, 282
3 501, 82, 517, 141
47 167, 82, 517, 47
167, 82, 11, 1

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

2 x 2 x 3 x 47 x 167 x 82 x 11 x 1 = 84957576

Therefore, the lowest common multiple of 501,328,517,564 is 84957576.

LCM Formula to Find Lowest Common Multiple of 501,328,517,564

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.

501 x 328 x 517 x 564 = 47916072864

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.

501 : 1, 3, 167, 501

328 : 1, 2, 4, 8, 41, 82, 164, 328

517 : 1, 11, 47, 517

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,328,517,564, is 1.

Now, the common factors can be found like this.

501:3x 167

328:2x 2x 2x 41

517:11x 47

564:2x 2x 3x 47

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

2x 2x 3x 47 = 564

Therefore, the value for common factors is 564.

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 = 47916072864/(1x564)

LCM = 47916072864/564

LCM = 84957576

Thus, we can understand that the LCM of 501,328,517,564 is 84957576.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 501, 328, 517, 564

1. What is the LCM of 501, 328, 517, 564?

Answer: LCM of 501, 328, 517, 564 is 84957576.

2. How to calculate the LCM of 501, 328, 517, 564?

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 501, 328, 517, 564.

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}.