Given numbers are 960,646,149

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

The LCM of 960,646,149 is 46201920.

Find LCM of 960,646,149 with Prime Factorization

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

2 x 480 x 323 x 149 = 46201920

Therefore, the lowest common multiple of 960,646,149 is 46201920.

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.

960 x 646 x 149 = 92403840

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

646 : 1, 2, 17, 19, 34, 38, 323, 646

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,646,149, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

646:2x 17x 19

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 92403840/(1x2)

LCM = 92403840/2

LCM = 46201920

Thus, we can understand that the LCM of 960,646,149 is 46201920.

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

• LCM of 249, 977, 836
• LCM of 829, 544, 812
• LCM of 663, 391, 459
• LCM of 565, 614, 853
• LCM of 631, 817, 108

1. What is the LCM of 960, 646, 149?

Answer: LCM of 960, 646, 149 is 46201920.

2. How to calculate the LCM of 960, 646, 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 960, 646, 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}.