Given numbers are 261,119,442,564,380

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

The LCM of 261,119,442,564,380 is 7211278620.

Find LCM of 261,119,442,564,380 with Prime Factorization

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

2 x 2 x 3 x 17 x 87 x 7 x 13 x 47 x 95 = 7211278620

Therefore, the lowest common multiple of 261,119,442,564,380 is 7211278620.

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.

261 x 119 x 442 x 564 x 380 = 2942201676960

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.

261 : 1, 3, 9, 29, 87, 261

119 : 1, 7, 17, 119

442 : 1, 2, 13, 17, 26, 34, 221, 442

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,119,442,564,380, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

119:7x 17

442:2x 13x 17

564:2x 2x 3x 47

380:2x 2x 5x 19

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 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 2942201676960/(1x408)

LCM = 2942201676960/408

LCM = 7211278620

Thus, we can understand that the LCM of 261,119,442,564,380 is 7211278620.

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

• LCM of 670, 684, 961, 723, 376
• LCM of 700, 452, 534, 934, 578
• LCM of 423, 628, 857, 258, 158
• LCM of 482, 215, 854, 554, 846
• LCM of 943, 709, 280, 290, 208

1. What is the LCM of 261, 119, 442, 564, 380?

Answer: LCM of 261, 119, 442, 564, 380 is 7211278620.

2. How to calculate the LCM of 261, 119, 442, 564, 380?

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 261, 119, 442, 564, 380.

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}.