Given numbers are 856,204,156,416,149

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

The LCM of 856,204,156,416,149 is 338246688.

Find LCM of 856,204,156,416,149 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 107 x 17 x 1 x 4 x 149 = 338246688

Therefore, the lowest common multiple of 856,204,156,416,149 is 338246688.

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.

856 x 204 x 156 x 416 x 149 = 1688527466496

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,204,156,416,149, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

204:2x 2x 3x 17

156:2x 2x 3x 13

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

149:149

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 = 1688527466496/(1x4992)

LCM = 1688527466496/4992

LCM = 338246688

Thus, we can understand that the LCM of 856,204,156,416,149 is 338246688.

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

• LCM of 637, 949, 299, 167, 527
• LCM of 914, 464, 245, 175, 420
• LCM of 354, 149, 614, 308, 300
• LCM of 622, 688, 362, 157, 384
• LCM of 113, 338, 806, 748, 451

1. What is the LCM of 856, 204, 156, 416, 149?

Answer: LCM of 856, 204, 156, 416, 149 is 338246688.

2. How to calculate the LCM of 856, 204, 156, 416, 149?

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 856, 204, 156, 416, 149.

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}.