Given numbers are 630,349,247,381,492

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

The LCM of 630,349,247,381,492 is 565562366460.

Find LCM of 630,349,247,381,492 with Prime Factorization

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

2 x 3 x 105 x 349 x 247 x 127 x 82 = 565562366460

Therefore, the lowest common multiple of 630,349,247,381,492 is 565562366460.

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.

630 x 349 x 247 x 381 x 492 = 10180122596280

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

349 : 1, 349

247 : 1, 13, 19, 247

381 : 1, 3, 127, 381

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,349,247,381,492, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

349:349

247:13x 19

381:3x 127

492:2x 2x 3x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 10180122596280/(1x18)

LCM = 10180122596280/18

LCM = 565562366460

Thus, we can understand that the LCM of 630,349,247,381,492 is 565562366460.

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

• LCM of 746, 578, 229, 833, 958
• LCM of 628, 139, 942, 714, 503
• LCM of 808, 243, 287, 614, 352
• LCM of 167, 213, 885, 814, 195
• LCM of 768, 601, 757, 391, 690

1. What is the LCM of 630, 349, 247, 381, 492?

Answer: LCM of 630, 349, 247, 381, 492 is 565562366460.

2. How to calculate the LCM of 630, 349, 247, 381, 492?

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 630, 349, 247, 381, 492.

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}.