Given numbers are 494,657,374,492,706

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

The LCM of 494,657,374,492,706 is 1756800647316.

Find LCM of 494,657,374,492,706 with Prime Factorization

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

2 x 3 x 247 x 219 x 187 x 82 x 353 = 1756800647316

Therefore, the lowest common multiple of 494,657,374,492,706 is 1756800647316.

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.

494 x 657 x 374 x 492 x 706 = 42163215535584

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.

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

657 : 1, 3, 9, 73, 219, 657

374 : 1, 2, 11, 17, 22, 34, 187, 374

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

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,657,374,492,706, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

657:3x 3x 73

374:2x 11x 17

492:2x 2x 3x 41

706:2x 353

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 3 = 24

Therefore, the value for common factors is 24.

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 = 42163215535584/(1x24)

LCM = 42163215535584/24

LCM = 1756800647316

Thus, we can understand that the LCM of 494,657,374,492,706 is 1756800647316.

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

• LCM of 862, 483, 929, 667, 933
• LCM of 541, 887, 799, 704, 677
• LCM of 396, 179, 507, 452, 604
• LCM of 606, 182, 720, 764, 466
• LCM of 265, 925, 423, 710, 658

1. What is the LCM of 494, 657, 374, 492, 706?

Answer: LCM of 494, 657, 374, 492, 706 is 1756800647316.

2. How to calculate the LCM of 494, 657, 374, 492, 706?

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 494, 657, 374, 492, 706.

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}.