Given numbers are 127,468,456,728,956

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

The LCM of 127,468,456,728,956 is 3778584264.

Find LCM of 127,468,456,728,956 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 127 x 3 x 19 x 7 x 239 = 3778584264

Therefore, the lowest common multiple of 127,468,456,728,956 is 3778584264.

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.

127 x 468 x 456 x 728 x 956 = 18862692645888

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.

127 : 1, 127

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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 127,468,456,728,956, is 1.

Now, the common factors can be found like this.

127:127

468:2x 2x 3x 3x 13

456:2x 2x 2x 3x 19

728:2x 2x 2x 7x 13

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 2x 3x 13 = 4992

Therefore, the value for common factors is 4992.

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 = 18862692645888/(1x4992)

LCM = 18862692645888/4992

LCM = 3778584264

Thus, we can understand that the LCM of 127,468,456,728,956 is 3778584264.

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

• LCM of 271, 270, 867, 710, 161
• LCM of 878, 556, 354, 729, 977
• LCM of 826, 286, 133, 117, 541
• LCM of 237, 752, 393, 133, 215
• LCM of 148, 296, 496, 500, 163

1. What is the LCM of 127, 468, 456, 728, 956?

Answer: LCM of 127, 468, 456, 728, 956 is 3778584264.

2. How to calculate the LCM of 127, 468, 456, 728, 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 127, 468, 456, 728, 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}.