Given numbers are 414,840,149,936

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

The LCM of 414,840,149,936 is 112268520.

Find LCM of 414,840,149,936 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 23 x 35 x 149 x 13 = 112268520

Therefore, the lowest common multiple of 414,840,149,936 is 112268520.

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.

414 x 840 x 149 x 936 = 48500000640

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

149 : 1, 149

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,840,149,936, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

840:2x 2x 2x 3x 5x 7

149:149

936:2x 2x 2x 3x 3x 13

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 48500000640/(1x432)

LCM = 48500000640/432

LCM = 112268520

Thus, we can understand that the LCM of 414,840,149,936 is 112268520.

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

• LCM of 629, 883, 115, 196
• LCM of 518, 378, 790, 837
• LCM of 627, 609, 246, 186
• LCM of 184, 677, 636, 682
• LCM of 434, 682, 530, 143

1. What is the LCM of 414, 840, 149, 936?

Answer: LCM of 414, 840, 149, 936 is 112268520.

2. How to calculate the LCM of 414, 840, 149, 936?

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 414, 840, 149, 936.

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}.