Given numbers are 464,473,260,638,648

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

The LCM of 464,473,260,638,648 is 1155520080.

Find LCM of 464,473,260,638,648 with Prime Factorization

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

2 x 2 x 2 x 11 x 29 x 2 x 43 x 65 x 1 x 81 = 1155520080

Therefore, the lowest common multiple of 464,473,260,638,648 is 1155520080.

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.

464 x 473 x 260 x 638 x 648 = 23591097953280

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

473 : 1, 11, 43, 473

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

638 : 1, 2, 11, 22, 29, 58, 319, 638

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,473,260,638,648, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

473:11x 43

260:2x 2x 5x 13

638:2x 11x 29

648:2x 2x 2x 3x 3x 3x 3

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 11x 29 = 20416

Therefore, the value for common factors is 20416.

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 = 23591097953280/(1x20416)

LCM = 23591097953280/20416

LCM = 1155520080

Thus, we can understand that the LCM of 464,473,260,638,648 is 1155520080.

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

• LCM of 846, 805, 734, 702, 889
• LCM of 976, 462, 979, 997, 171
• LCM of 911, 139, 924, 160, 993
• LCM of 820, 298, 457, 279, 145
• LCM of 597, 511, 219, 546, 135

1. What is the LCM of 464, 473, 260, 638, 648?

Answer: LCM of 464, 473, 260, 638, 648 is 1155520080.

2. How to calculate the LCM of 464, 473, 260, 638, 648?

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 464, 473, 260, 638, 648.

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}.