Given numbers are 840,169,494,470,364

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

The LCM of 840,169,494,470,364 is 126770280.

Find LCM of 840,169,494,470,364 with Prime Factorization

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

2 x 2 x 5 x 7 x 13 x 6 x 1 x 19 x 47 x 13 = 126770280

Therefore, the lowest common multiple of 840,169,494,470,364 is 126770280.

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.

840 x 169 x 494 x 470 x 364 = 11997539299200

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

169 : 1, 13, 169

494 : 1, 2, 13, 19, 26, 38, 247, 494

470 : 1, 2, 5, 10, 47, 94, 235, 470

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,169,494,470,364, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

169:13x 13

494:2x 13x 19

470:2x 5x 47

364:2x 2x 7x 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 5x 7x 13x 13 = 94640

Therefore, the value for common factors is 94640.

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 = 11997539299200/(1x94640)

LCM = 11997539299200/94640

LCM = 126770280

Thus, we can understand that the LCM of 840,169,494,470,364 is 126770280.

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

• LCM of 133, 788, 710, 403, 156
• LCM of 996, 960, 690, 759, 636
• LCM of 788, 696, 419, 312, 725
• LCM of 493, 519, 793, 282, 323
• LCM of 259, 178, 510, 960, 549

1. What is the LCM of 840, 169, 494, 470, 364?

Answer: LCM of 840, 169, 494, 470, 364 is 126770280.

2. How to calculate the LCM of 840, 169, 494, 470, 364?

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 840, 169, 494, 470, 364.

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}.