Given numbers are 580,356,719,149,742

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

The LCM of 580,356,719,149,742 is 2051667923620.

Find LCM of 580,356,719,149,742 with Prime Factorization

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

2 x 2 x 145 x 89 x 719 x 149 x 371 = 2051667923620

Therefore, the lowest common multiple of 580,356,719,149,742 is 2051667923620.

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.

580 x 356 x 719 x 149 x 742 = 16413343388960

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

356 : 1, 2, 4, 89, 178, 356

719 : 1, 719

149 : 1, 149

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,356,719,149,742, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

356:2x 2x 89

719:719

149:149

742:2x 7x 53

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 2 = 8

Therefore, the value for common factors is 8.

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 = 16413343388960/(1x8)

LCM = 16413343388960/8

LCM = 2051667923620

Thus, we can understand that the LCM of 580,356,719,149,742 is 2051667923620.

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

• LCM of 807, 665, 552, 571, 512
• LCM of 314, 896, 123, 983, 131
• LCM of 143, 773, 740, 754, 718
• LCM of 990, 479, 957, 642, 423
• LCM of 391, 614, 877, 757, 590

1. What is the LCM of 580, 356, 719, 149, 742?

Answer: LCM of 580, 356, 719, 149, 742 is 2051667923620.

2. How to calculate the LCM of 580, 356, 719, 149, 742?

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 580, 356, 719, 149, 742.

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}.