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LCM of 212, 635, 478, 418, 657

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


Find the LCM of 212, 635, 478, 418, 657 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 212, 635, 478, 418, 657. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 212,635,478,418,657

Given numbers are 212,635,478,418,657

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

The LCM of 212,635,478,418,657 is 4417933178340.

Find LCM of 212,635,478,418,657 with Prime Factorization


2 212, 635, 478, 418, 657
106, 635, 239, 209, 657

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

2 x 106 x 635 x 239 x 209 x 657 = 4417933178340

Therefore, the lowest common multiple of 212,635,478,418,657 is 4417933178340.

LCM Formula to Find Lowest Common Multiple of 212,635,478,418,657

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.

212 x 635 x 478 x 418 x 657 = 17671732713360

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.

212 : 1, 2, 4, 53, 106, 212

635 : 1, 5, 127, 635

478 : 1, 2, 239, 478

418 : 1, 2, 11, 19, 22, 38, 209, 418

657 : 1, 3, 9, 73, 219, 657

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,635,478,418,657, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

635:5x 127

478:2x 239

418:2x 11x 19

657:3x 3x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 17671732713360/(1x4)

LCM = 17671732713360/4

LCM = 4417933178340

Thus, we can understand that the LCM of 212,635,478,418,657 is 4417933178340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 212, 635, 478, 418, 657

1. What is the LCM of 212, 635, 478, 418, 657?

Answer: LCM of 212, 635, 478, 418, 657 is 4417933178340.

2. How to calculate the LCM of 212, 635, 478, 418, 657?

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 212, 635, 478, 418, 657.

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}.