Given numbers are 730,494,538,840,902

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

The LCM of 730,494,538,840,902 is 1837502426760.

Find LCM of 730,494,538,840,902 with Prime Factorization

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

2 x 5 x 73 x 247 x 269 x 84 x 451 = 1837502426760

Therefore, the lowest common multiple of 730,494,538,840,902 is 1837502426760.

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.

730 x 494 x 538 x 840 x 902 = 147000194140800

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

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

538 : 1, 2, 269, 538

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

902 : 1, 2, 11, 22, 41, 82, 451, 902

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,494,538,840,902, is 2.

Now, the common factors can be found like this.

730:2x 5x 73

494:2x 13x 19

538:2x 269

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

902:2x 11x 41

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 5 = 40

Therefore, the value for common factors is 40.

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 = 147000194140800/(2x40)

LCM = 147000194140800/80

LCM = 1837502426760

Thus, we can understand that the LCM of 730,494,538,840,902 is 1837502426760.

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

• LCM of 457, 514, 899, 382, 931
• LCM of 855, 712, 443, 981, 954
• LCM of 108, 143, 623, 525, 581
• LCM of 963, 105, 673, 232, 427
• LCM of 607, 720, 258, 613, 820

1. What is the LCM of 730, 494, 538, 840, 902?

Answer: LCM of 730, 494, 538, 840, 902 is 1837502426760.

2. How to calculate the LCM of 730, 494, 538, 840, 902?

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 730, 494, 538, 840, 902.

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}.