Given numbers are 387,418,246,626,456

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

The LCM of 387,418,246,626,456 is 8303772312.

Find LCM of 387,418,246,626,456 with Prime Factorization

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

2 x 3 x 19 x 129 x 11 x 41 x 313 x 4 = 8303772312

Therefore, the lowest common multiple of 387,418,246,626,456 is 8303772312.

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.

387 x 418 x 246 x 626 x 456 = 11359560522816

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.

387 : 1, 3, 9, 43, 129, 387

418 : 1, 2, 11, 19, 22, 38, 209, 418

246 : 1, 2, 3, 6, 41, 82, 123, 246

626 : 1, 2, 313, 626

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,418,246,626,456, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

418:2x 11x 19

246:2x 3x 41

626:2x 313

456:2x 2x 2x 3x 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 3x 3x 19 = 1368

Therefore, the value for common factors is 1368.

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 = 11359560522816/(1x1368)

LCM = 11359560522816/1368

LCM = 8303772312

Thus, we can understand that the LCM of 387,418,246,626,456 is 8303772312.

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

• LCM of 632, 908, 193, 787, 957
• LCM of 160, 755, 989, 610, 289
• LCM of 691, 358, 584, 570, 819
• LCM of 578, 385, 313, 344, 693
• LCM of 311, 474, 282, 911, 524

1. What is the LCM of 387, 418, 246, 626, 456?

Answer: LCM of 387, 418, 246, 626, 456 is 8303772312.

2. How to calculate the LCM of 387, 418, 246, 626, 456?

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 387, 418, 246, 626, 456.

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}.