Given numbers are 368,996,257,624

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

The LCM of 368,996,257,624 is 306142512.

Find LCM of 368,996,257,624 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 23 x 83 x 257 x 13 = 306142512

Therefore, the lowest common multiple of 368,996,257,624 is 306142512.

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.

368 x 996 x 257 x 624 = 58779362304

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

257 : 1, 257

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,996,257,624, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

996:2x 2x 3x 83

257:257

624:2x 2x 2x 2x 3x 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 3 = 192

Therefore, the value for common factors is 192.

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 = 58779362304/(1x192)

LCM = 58779362304/192

LCM = 306142512

Thus, we can understand that the LCM of 368,996,257,624 is 306142512.

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

• LCM of 499, 523, 491, 812
• LCM of 272, 763, 698, 864
• LCM of 357, 212, 836, 468
• LCM of 172, 262, 496, 593
• LCM of 777, 811, 189, 783

1. What is the LCM of 368, 996, 257, 624?

Answer: LCM of 368, 996, 257, 624 is 306142512.

2. How to calculate the LCM of 368, 996, 257, 624?

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 368, 996, 257, 624.

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}.