Given numbers are 130,325,416,120,956

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

The LCM of 130,325,416,120,956 is 7456800.

Find LCM of 130,325,416,120,956 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 1 x 5 x 4 x 3 x 239 = 7456800

Therefore, the lowest common multiple of 130,325,416,120,956 is 7456800.

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.

130 x 325 x 416 x 120 x 956 = 2016318720000

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.

130 : 1, 2, 5, 10, 13, 26, 65, 130

325 : 1, 5, 13, 25, 65, 325

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

956 : 1, 2, 4, 239, 478, 956

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,325,416,120,956, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

325:5x 5x 13

416:2x 2x 2x 2x 2x 13

120:2x 2x 2x 3x 5

956:2x 2x 239

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 2x 2x 2x 5x 5x 13x 13 = 270400

Therefore, the value for common factors is 270400.

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 = 2016318720000/(1x270400)

LCM = 2016318720000/270400

LCM = 7456800

Thus, we can understand that the LCM of 130,325,416,120,956 is 7456800.

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

• LCM of 583, 470, 531, 355, 373
• LCM of 559, 375, 200, 316, 563
• LCM of 133, 553, 398, 791, 232
• LCM of 381, 282, 681, 103, 342
• LCM of 819, 665, 638, 654, 109

1. What is the LCM of 130, 325, 416, 120, 956?

Answer: LCM of 130, 325, 416, 120, 956 is 7456800.

2. How to calculate the LCM of 130, 325, 416, 120, 956?

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 130, 325, 416, 120, 956.

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}.