Given numbers are 552,855,460,682,120

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

The LCM of 552,855,460,682,120 is 53646120.

Find LCM of 552,855,460,682,120 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 1 x 57 x 1 x 341 x 1 = 53646120

Therefore, the lowest common multiple of 552,855,460,682,120 is 53646120.

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.

552 x 855 x 460 x 682 x 120 = 17767594944000

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.

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

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

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

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,855,460,682,120, is 1.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

855:3x 3x 5x 19

460:2x 2x 5x 23

682:2x 11x 31

120:2x 2x 2x 3x 5

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 2x 2x 3x 3x 5x 5x 23 = 331200

Therefore, the value for common factors is 331200.

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 = 17767594944000/(1x331200)

LCM = 17767594944000/331200

LCM = 53646120

Thus, we can understand that the LCM of 552,855,460,682,120 is 53646120.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 926, 757, 182, 998, 960
• LCM of 624, 859, 145, 584, 296
• LCM of 314, 236, 834, 157, 389
• LCM of 737, 167, 266, 754, 404
• LCM of 875, 453, 994, 816, 212

1. What is the LCM of 552, 855, 460, 682, 120?

Answer: LCM of 552, 855, 460, 682, 120 is 53646120.

2. How to calculate the LCM of 552, 855, 460, 682, 120?

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 552, 855, 460, 682, 120.

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}.