Given numbers are 424,456,545,310,418

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

The LCM of 424,456,545,310,418 is 4491501960.

Find LCM of 424,456,545,310,418 with Prime Factorization

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

2 x 2 x 2 x 5 x 19 x 53 x 3 x 109 x 31 x 11 = 4491501960

Therefore, the lowest common multiple of 424,456,545,310,418 is 4491501960.

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.

424 x 456 x 545 x 310 x 418 = 13654165958400

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

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

545 : 1, 5, 109, 545

310 : 1, 2, 5, 10, 31, 62, 155, 310

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,456,545,310,418, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

456:2x 2x 2x 3x 19

545:5x 109

310:2x 5x 31

418:2x 11x 19

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 5x 19 = 3040

Therefore, the value for common factors is 3040.

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 = 13654165958400/(1x3040)

LCM = 13654165958400/3040

LCM = 4491501960

Thus, we can understand that the LCM of 424,456,545,310,418 is 4491501960.

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

• LCM of 839, 687, 426, 983, 499
• LCM of 226, 101, 217, 406, 356
• LCM of 938, 643, 252, 631, 989
• LCM of 355, 519, 221, 507, 796
• LCM of 550, 706, 691, 922, 606

1. What is the LCM of 424, 456, 545, 310, 418?

Answer: LCM of 424, 456, 545, 310, 418 is 4491501960.

2. How to calculate the LCM of 424, 456, 545, 310, 418?

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 424, 456, 545, 310, 418.

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}.