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LCM of 415, 270, 906, 631

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


Find the LCM of 415, 270, 906, 631 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 415, 270, 906, 631. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 415,270,906,631

Given numbers are 415,270,906,631

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

The LCM of 415,270,906,631 is 2135247210.

Find LCM of 415,270,906,631 with Prime Factorization


2 415, 270, 906, 631
3 415, 135, 453, 631
5 415, 45, 151, 631
83, 9, 151, 631

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

2 x 3 x 5 x 83 x 9 x 151 x 631 = 2135247210

Therefore, the lowest common multiple of 415,270,906,631 is 2135247210.

LCM Formula to Find Lowest Common Multiple of 415,270,906,631

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.

415 x 270 x 906 x 631 = 64057416300

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.

415 : 1, 5, 83, 415

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

906 : 1, 2, 3, 6, 151, 302, 453, 906

631 : 1, 631

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,270,906,631, is 1.

Now, the common factors can be found like this.

415:5x 83

270:2x 3x 3x 3x 5

906:2x 3x 151

631:631

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 5 = 30

Therefore, the value for common factors is 30.

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 = 64057416300/(1x30)

LCM = 64057416300/30

LCM = 2135247210

Thus, we can understand that the LCM of 415,270,906,631 is 2135247210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 415, 270, 906, 631

1. What is the LCM of 415, 270, 906, 631?

Answer: LCM of 415, 270, 906, 631 is 2135247210.

2. How to calculate the LCM of 415, 270, 906, 631?

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 415, 270, 906, 631.

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}.