Given numbers are 418,440,137,156,490

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

The LCM of 418,440,137,156,490 is 2188706520.

Find LCM of 418,440,137,156,490 with Prime Factorization

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

2 x 2 x 5 x 11 x 19 x 2 x 137 x 39 x 49 = 2188706520

Therefore, the lowest common multiple of 418,440,137,156,490 is 2188706520.

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.

418 x 440 x 137 x 156 x 490 = 1926061737600

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.

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

137 : 1, 137

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,440,137,156,490, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

440:2x 2x 2x 5x 11

137:137

156:2x 2x 3x 13

490:2x 5x 7x 7

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 5x 11 = 880

Therefore, the value for common factors is 880.

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 = 1926061737600/(1x880)

LCM = 1926061737600/880

LCM = 2188706520

Thus, we can understand that the LCM of 418,440,137,156,490 is 2188706520.

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

• LCM of 570, 991, 634, 636, 770
• LCM of 559, 997, 105, 459, 163
• LCM of 709, 473, 836, 291, 540
• LCM of 407, 377, 968, 876, 195
• LCM of 715, 674, 421, 543, 477

1. What is the LCM of 418, 440, 137, 156, 490?

Answer: LCM of 418, 440, 137, 156, 490 is 2188706520.

2. How to calculate the LCM of 418, 440, 137, 156, 490?

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 418, 440, 137, 156, 490.

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}.