Given numbers are 136,304,478,336,374

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

The LCM of 136,304,478,336,374 is 285320112.

Find LCM of 136,304,478,336,374 with Prime Factorization

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

2 x 2 x 2 x 2 x 17 x 1 x 19 x 239 x 21 x 11 = 285320112

Therefore, the lowest common multiple of 136,304,478,336,374 is 285320112.

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 304 x 478 x 336 x 374 = 2483426254848

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

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

478 : 1, 2, 239, 478

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

374 : 1, 2, 11, 17, 22, 34, 187, 374

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,304,478,336,374, is 2.

Now, the common factors can be found like this.

136:2x 2x 2x 17

304:2x 2x 2x 2x 19

478:2x 239

336:2x 2x 2x 2x 3x 7

374:2x 11x 17

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 2x 17 = 4352

Therefore, the value for common factors is 4352.

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 = 2483426254848/(2x4352)

LCM = 2483426254848/8704

LCM = 285320112

Thus, we can understand that the LCM of 136,304,478,336,374 is 285320112.

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

• LCM of 792, 387, 130, 161, 301
• LCM of 345, 773, 345, 953, 198
• LCM of 589, 695, 444, 892, 636
• LCM of 403, 166, 437, 714, 558
• LCM of 492, 852, 971, 850, 206

1. What is the LCM of 136, 304, 478, 336, 374?

Answer: LCM of 136, 304, 478, 336, 374 is 285320112.

2. How to calculate the LCM of 136, 304, 478, 336, 374?

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, 304, 478, 336, 374.

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}.