Given numbers are 486,122,606,416,370

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

The LCM of 486,122,606,416,370 is 115218586080.

Find LCM of 486,122,606,416,370 with Prime Factorization

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

2 x 3 x 81 x 61 x 101 x 208 x 185 = 115218586080

Therefore, the lowest common multiple of 486,122,606,416,370 is 115218586080.

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.

486 x 122 x 606 x 416 x 370 = 5530492131840

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.

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

122 : 1, 2, 61, 122

606 : 1, 2, 3, 6, 101, 202, 303, 606

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

370 : 1, 2, 5, 10, 37, 74, 185, 370

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,122,606,416,370, is 2.

Now, the common factors can be found like this.

486:2x 3x 3x 3x 3x 3

122:2x 61

606:2x 3x 101

416:2x 2x 2x 2x 2x 13

370:2x 5x 37

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 3 = 24

Therefore, the value for common factors is 24.

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 = 5530492131840/(2x24)

LCM = 5530492131840/48

LCM = 115218586080

Thus, we can understand that the LCM of 486,122,606,416,370 is 115218586080.

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

• LCM of 251, 373, 653, 595, 111
• LCM of 253, 808, 982, 699, 417
• LCM of 323, 127, 475, 286, 213
• LCM of 276, 935, 906, 113, 956
• LCM of 224, 847, 610, 880, 347

1. What is the LCM of 486, 122, 606, 416, 370?

Answer: LCM of 486, 122, 606, 416, 370 is 115218586080.

2. How to calculate the LCM of 486, 122, 606, 416, 370?

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 486, 122, 606, 416, 370.

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}.