Given numbers are 136,381,116,409

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

The LCM of 136,381,116,409 is 614589576.

Find LCM of 136,381,116,409 with Prime Factorization

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

2 x 2 x 34 x 381 x 29 x 409 = 614589576

Therefore, the lowest common multiple of 136,381,116,409 is 614589576.

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.

136 x 381 x 116 x 409 = 2458358304

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.

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

381 : 1, 3, 127, 381

116 : 1, 2, 4, 29, 58, 116

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,381,116,409, is 1.

Now, the common factors can be found like this.

136:2x 2x 2x 17

381:3x 127

116:2x 2x 29

409:409

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2458358304/(1x4)

LCM = 2458358304/4

LCM = 614589576

Thus, we can understand that the LCM of 136,381,116,409 is 614589576.

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

• LCM of 460, 840, 459, 744
• LCM of 464, 305, 389, 305
• LCM of 466, 357, 714, 418
• LCM of 503, 464, 148, 644
• LCM of 552, 781, 845, 376

1. What is the LCM of 136, 381, 116, 409?

Answer: LCM of 136, 381, 116, 409 is 614589576.

2. How to calculate the LCM of 136, 381, 116, 409?

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 136, 381, 116, 409.

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}.