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LCM of 649, 682, 272, 806, 460

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


Find the LCM of 649, 682, 272, 806, 460 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 649, 682, 272, 806, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 649,682,272,806,460

Given numbers are 649,682,272,806,460

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

The LCM of 649,682,272,806,460 is 8181190160.

Find LCM of 649,682,272,806,460 with Prime Factorization


2 649, 682, 272, 806, 460
2 649, 341, 136, 403, 230
11 649, 341, 68, 403, 115
31 59, 31, 68, 403, 115
59, 1, 68, 13, 115

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

2 x 2 x 11 x 31 x 59 x 1 x 68 x 13 x 115 = 8181190160

Therefore, the lowest common multiple of 649,682,272,806,460 is 8181190160.

LCM Formula to Find Lowest Common Multiple of 649,682,272,806,460

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.

649 x 682 x 272 x 806 x 460 = 44636573512960

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.

649 : 1, 11, 59, 649

682 : 1, 2, 11, 22, 31, 62, 341, 682

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

806 : 1, 2, 13, 26, 31, 62, 403, 806

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,682,272,806,460, is 1.

Now, the common factors can be found like this.

649:11x 59

682:2x 11x 31

272:2x 2x 2x 2x 17

806:2x 13x 31

460:2x 2x 5x 23

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 2x 11x 31 = 5456

Therefore, the value for common factors is 5456.

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 = 44636573512960/(1x5456)

LCM = 44636573512960/5456

LCM = 8181190160

Thus, we can understand that the LCM of 649,682,272,806,460 is 8181190160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 649, 682, 272, 806, 460

1. What is the LCM of 649, 682, 272, 806, 460?

Answer: LCM of 649, 682, 272, 806, 460 is 8181190160.

2. How to calculate the LCM of 649, 682, 272, 806, 460?

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 649, 682, 272, 806, 460.

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}.