Given numbers are 392,624,124,782,494

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

The LCM of 392,624,124,782,494 is 7041622224.

Find LCM of 392,624,124,782,494 with Prime Factorization

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

2 x 2 x 2 x 13 x 49 x 6 x 31 x 391 x 19 = 7041622224

Therefore, the lowest common multiple of 392,624,124,782,494 is 7041622224.

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.

392 x 624 x 124 x 782 x 494 = 11717259380736

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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

124 : 1, 2, 4, 31, 62, 124

782 : 1, 2, 17, 23, 34, 46, 391, 782

494 : 1, 2, 13, 19, 26, 38, 247, 494

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,624,124,782,494, is 2.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

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

124:2x 2x 31

782:2x 17x 23

494:2x 13x 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 2x 13 = 832

Therefore, the value for common factors is 832.

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 = 11717259380736/(2x832)

LCM = 11717259380736/1664

LCM = 7041622224

Thus, we can understand that the LCM of 392,624,124,782,494 is 7041622224.

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

• LCM of 680, 348, 606, 336, 403
• LCM of 204, 125, 525, 574, 426
• LCM of 952, 637, 817, 910, 376
• LCM of 544, 118, 448, 717, 516
• LCM of 333, 914, 327, 411, 358

1. What is the LCM of 392, 624, 124, 782, 494?

Answer: LCM of 392, 624, 124, 782, 494 is 7041622224.

2. How to calculate the LCM of 392, 624, 124, 782, 494?

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 392, 624, 124, 782, 494.

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}.