Given numbers are 478,992,679,624,546

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

The LCM of 478,992,679,624,546 is 6278327328.

Find LCM of 478,992,679,624,546 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 7 x 13 x 239 x 62 x 97 x 1 x 1 = 6278327328

Therefore, the lowest common multiple of 478,992,679,624,546 is 6278327328.

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.

478 x 992 x 679 x 624 x 546 = 109694935074816

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.

478 : 1, 2, 239, 478

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

679 : 1, 7, 97, 679

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,992,679,624,546, is 1.

Now, the common factors can be found like this.

478:2x 239

992:2x 2x 2x 2x 2x 31

679:7x 97

624:2x 2x 2x 2x 3x 13

546:2x 3x 7x 13

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 7x 13 = 17472

Therefore, the value for common factors is 17472.

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 = 109694935074816/(1x17472)

LCM = 109694935074816/17472

LCM = 6278327328

Thus, we can understand that the LCM of 478,992,679,624,546 is 6278327328.

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

• LCM of 770, 159, 468, 820, 938
• LCM of 481, 665, 607, 611, 497
• LCM of 608, 577, 686, 683, 867
• LCM of 825, 642, 402, 515, 971
• LCM of 211, 766, 963, 831, 922

1. What is the LCM of 478, 992, 679, 624, 546?

Answer: LCM of 478, 992, 679, 624, 546 is 6278327328.

2. How to calculate the LCM of 478, 992, 679, 624, 546?

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 478, 992, 679, 624, 546.

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}.