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LCM of 440, 693, 627, 466, 639

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


Find the LCM of 440, 693, 627, 466, 639 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 440, 693, 627, 466, 639. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 440,693,627,466,639

Given numbers are 440,693,627,466,639

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

The LCM of 440,693,627,466,639 is 8712867240.

Find LCM of 440,693,627,466,639 with Prime Factorization


2 440, 693, 627, 466, 639
3 220, 693, 627, 233, 639
3 220, 231, 209, 233, 213
11 220, 77, 209, 233, 71
20, 7, 19, 233, 71

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

2 x 3 x 3 x 11 x 20 x 7 x 19 x 233 x 71 = 8712867240

Therefore, the lowest common multiple of 440,693,627,466,639 is 8712867240.

LCM Formula to Find Lowest Common Multiple of 440,693,627,466,639

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.

440 x 693 x 627 x 466 x 639 = 56929874546160

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

627 : 1, 3, 11, 19, 33, 57, 209, 627

466 : 1, 2, 233, 466

639 : 1, 3, 9, 71, 213, 639

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,693,627,466,639, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

693:3x 3x 7x 11

627:3x 11x 19

466:2x 233

639:3x 3x 71

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

2x 3x 3x 3x 11x 11 = 6534

Therefore, the value for common factors is 6534.

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 = 56929874546160/(1x6534)

LCM = 56929874546160/6534

LCM = 8712867240

Thus, we can understand that the LCM of 440,693,627,466,639 is 8712867240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 440, 693, 627, 466, 639

1. What is the LCM of 440, 693, 627, 466, 639?

Answer: LCM of 440, 693, 627, 466, 639 is 8712867240.

2. How to calculate the LCM of 440, 693, 627, 466, 639?

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 440, 693, 627, 466, 639.

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}.