Given numbers are 494,736,507

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

The LCM of 494,736,507 is 7089888.

Find LCM of 494,736,507 with Prime Factorization

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

2 x 13 x 19 x 368 x 39 = 7089888

Therefore, the lowest common multiple of 494,736,507 is 7089888.

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 736 x 507 = 184337088

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

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,736,507, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

736:2x 2x 2x 2x 2x 23

507:3x 13x 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 13 = 26

Therefore, the value for common factors is 26.

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 = 184337088/(1x26)

LCM = 184337088/26

LCM = 7089888

Thus, we can understand that the LCM of 494,736,507 is 7089888.

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

• LCM of 470, 200, 374
• LCM of 641, 941, 145
• LCM of 220, 342, 850
• LCM of 597, 397, 364
• LCM of 902, 755, 614

1. What is the LCM of 494, 736, 507?

Answer: LCM of 494, 736, 507 is 7089888.

2. How to calculate the LCM of 494, 736, 507?

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, 736, 507.

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}.