Given numbers are 478,688,251,360

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

The LCM of 478,688,251,360 is 1857259440.

Find LCM of 478,688,251,360 with Prime Factorization

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

2 x 2 x 2 x 239 x 86 x 251 x 45 = 1857259440

Therefore, the lowest common multiple of 478,688,251,360 is 1857259440.

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 688 x 251 x 360 = 29716151040

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

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

251 : 1, 251

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,688,251,360, is 1.

Now, the common factors can be found like this.

478:2x 239

688:2x 2x 2x 2x 43

251:251

360:2x 2x 2x 3x 3x 5

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 2 = 16

Therefore, the value for common factors is 16.

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 = 29716151040/(1x16)

LCM = 29716151040/16

LCM = 1857259440

Thus, we can understand that the LCM of 478,688,251,360 is 1857259440.

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

• LCM of 650, 344, 824, 176
• LCM of 622, 615, 554, 762
• LCM of 211, 544, 603, 674
• LCM of 281, 510, 125, 970
• LCM of 206, 302, 724, 409

1. What is the LCM of 478, 688, 251, 360?

Answer: LCM of 478, 688, 251, 360 is 1857259440.

2. How to calculate the LCM of 478, 688, 251, 360?

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, 688, 251, 360.

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}.