Given numbers are 953,456,418,660,440

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

The LCM of 953,456,418,660,440 is 23901240.

Find LCM of 953,456,418,660,440 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 19 x 953 x 1 x 1 x 1 x 1 = 23901240

Therefore, the lowest common multiple of 953,456,418,660,440 is 23901240.

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.

953 x 456 x 418 x 660 x 440 = 52750992729600

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.

953 : 1, 953

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

418 : 1, 2, 11, 19, 22, 38, 209, 418

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,456,418,660,440, is 1.

Now, the common factors can be found like this.

953:953

456:2x 2x 2x 3x 19

418:2x 11x 19

660:2x 2x 3x 5x 11

440:2x 2x 2x 5x 11

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 5x 11x 11x 19 = 2207040

Therefore, the value for common factors is 2207040.

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 = 52750992729600/(1x2207040)

LCM = 52750992729600/2207040

LCM = 23901240

Thus, we can understand that the LCM of 953,456,418,660,440 is 23901240.

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

• LCM of 206, 405, 479, 549, 179
• LCM of 132, 527, 668, 674, 523
• LCM of 146, 833, 167, 165, 139
• LCM of 812, 860, 736, 191, 792
• LCM of 609, 848, 612, 786, 669

1. What is the LCM of 953, 456, 418, 660, 440?

Answer: LCM of 953, 456, 418, 660, 440 is 23901240.

2. How to calculate the LCM of 953, 456, 418, 660, 440?

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 953, 456, 418, 660, 440.

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}.