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LCM of 528, 231, 517, 495

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


Find the LCM of 528, 231, 517, 495 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 528, 231, 517, 495. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 528,231,517,495

Given numbers are 528,231,517,495

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

The LCM of 528,231,517,495 is 2605680.

Find LCM of 528,231,517,495 with Prime Factorization


3 528, 231, 517, 495
11 176, 77, 517, 165
16, 7, 47, 15

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

3 x 11 x 16 x 7 x 47 x 15 = 2605680

Therefore, the lowest common multiple of 528,231,517,495 is 2605680.

LCM Formula to Find Lowest Common Multiple of 528,231,517,495

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.

528 x 231 x 517 x 495 = 31213440720

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

231 : 1, 3, 7, 11, 21, 33, 77, 231

517 : 1, 11, 47, 517

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,231,517,495, is 11.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

231:3x 7x 11

517:11x 47

495:3x 3x 5x 11

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

3x 3x 11x 11 = 1089

Therefore, the value for common factors is 1089.

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 = 31213440720/(11x1089)

LCM = 31213440720/11979

LCM = 2605680

Thus, we can understand that the LCM of 528,231,517,495 is 2605680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 528, 231, 517, 495

1. What is the LCM of 528, 231, 517, 495?

Answer: LCM of 528, 231, 517, 495 is 2605680.

2. How to calculate the LCM of 528, 231, 517, 495?

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 528, 231, 517, 495.

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}.