Given numbers are 138,272,129,391,956

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

The LCM of 138,272,129,391,956 is 192878736.

Find LCM of 138,272,129,391,956 with Prime Factorization

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

2 x 2 x 3 x 17 x 23 x 1 x 4 x 43 x 1 x 239 = 192878736

Therefore, the lowest common multiple of 138,272,129,391,956 is 192878736.

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.

138 x 272 x 129 x 391 x 956 = 1809974058624

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

129 : 1, 3, 43, 129

391 : 1, 17, 23, 391

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 138,272,129,391,956, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

272:2x 2x 2x 2x 17

129:3x 43

391:17x 23

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 3x 17x 23 = 9384

Therefore, the value for common factors is 9384.

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 = 1809974058624/(1x9384)

LCM = 1809974058624/9384

LCM = 192878736

Thus, we can understand that the LCM of 138,272,129,391,956 is 192878736.

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

• LCM of 969, 868, 772, 234, 628
• LCM of 652, 963, 314, 782, 657
• LCM of 231, 369, 868, 433, 105
• LCM of 223, 326, 621, 315, 425
• LCM of 902, 396, 515, 815, 827

1. What is the LCM of 138, 272, 129, 391, 956?

Answer: LCM of 138, 272, 129, 391, 956 is 192878736.

2. How to calculate the LCM of 138, 272, 129, 391, 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 138, 272, 129, 391, 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}.