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LCM of 520, 682, 860, 806, 454

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


Find the LCM of 520, 682, 860, 806, 454 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 520, 682, 860, 806, 454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 520,682,860,806,454

Given numbers are 520,682,860,806,454

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

The LCM of 520,682,860,806,454 is 1730820520.

Find LCM of 520,682,860,806,454 with Prime Factorization


2 520, 682, 860, 806, 454
2 260, 341, 430, 403, 227
5 130, 341, 215, 403, 227
13 26, 341, 43, 403, 227
31 2, 341, 43, 31, 227
2, 11, 43, 1, 227

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

2 x 2 x 5 x 13 x 31 x 2 x 11 x 43 x 1 x 227 = 1730820520

Therefore, the lowest common multiple of 520,682,860,806,454 is 1730820520.

LCM Formula to Find Lowest Common Multiple of 520,682,860,806,454

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.

520 x 682 x 860 x 806 x 454 = 111603307129600

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.

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

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

454 : 1, 2, 227, 454

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,682,860,806,454, is 2.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

682:2x 11x 31

860:2x 2x 5x 43

806:2x 13x 31

454:2x 227

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 5x 13x 31 = 32240

Therefore, the value for common factors is 32240.

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 = 111603307129600/(2x32240)

LCM = 111603307129600/64480

LCM = 1730820520

Thus, we can understand that the LCM of 520,682,860,806,454 is 1730820520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 520, 682, 860, 806, 454

1. What is the LCM of 520, 682, 860, 806, 454?

Answer: LCM of 520, 682, 860, 806, 454 is 1730820520.

2. How to calculate the LCM of 520, 682, 860, 806, 454?

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 520, 682, 860, 806, 454.

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}.