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LCM of 667, 470, 516, 528, 763

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


Find the LCM of 667, 470, 516, 528, 763 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 667, 470, 516, 528, 763. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,470,516,528,763

Given numbers are 667,470,516,528,763

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

The LCM of 667,470,516,528,763 is 2715317460240.

Find LCM of 667,470,516,528,763 with Prime Factorization


2 667, 470, 516, 528, 763
2 667, 235, 258, 264, 763
3 667, 235, 129, 132, 763
667, 235, 43, 44, 763

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

2 x 2 x 3 x 667 x 235 x 43 x 44 x 763 = 2715317460240

Therefore, the lowest common multiple of 667,470,516,528,763 is 2715317460240.

LCM Formula to Find Lowest Common Multiple of 667,470,516,528,763

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.

667 x 470 x 516 x 528 x 763 = 65167619045760

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.

667 : 1, 23, 29, 667

470 : 1, 2, 5, 10, 47, 94, 235, 470

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,470,516,528,763, is 1.

Now, the common factors can be found like this.

667:23x 29

470:2x 5x 47

516:2x 2x 3x 43

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

763:7x 109

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 65167619045760/(1x24)

LCM = 65167619045760/24

LCM = 2715317460240

Thus, we can understand that the LCM of 667,470,516,528,763 is 2715317460240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 470, 516, 528, 763

1. What is the LCM of 667, 470, 516, 528, 763?

Answer: LCM of 667, 470, 516, 528, 763 is 2715317460240.

2. How to calculate the LCM of 667, 470, 516, 528, 763?

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 667, 470, 516, 528, 763.

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}.