Given numbers are 149,702,696,960

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

The LCM of 149,702,696,960 is 485334720.

Find LCM of 149,702,696,960 with Prime Factorization

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

2 x 2 x 2 x 3 x 149 x 117 x 29 x 40 = 485334720

Therefore, the lowest common multiple of 149,702,696,960 is 485334720.

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.

149 x 702 x 696 x 960 = 69888199680

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.

149 : 1, 149

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,702,696,960, is 1.

Now, the common factors can be found like this.

149:149

702:2x 3x 3x 3x 13

696:2x 2x 2x 3x 29

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

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 3 = 144

Therefore, the value for common factors is 144.

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 = 69888199680/(1x144)

LCM = 69888199680/144

LCM = 485334720

Thus, we can understand that the LCM of 149,702,696,960 is 485334720.

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

• LCM of 248, 354, 285, 412
• LCM of 818, 747, 766, 615
• LCM of 792, 674, 233, 894
• LCM of 857, 718, 650, 940
• LCM of 739, 920, 250, 647

1. What is the LCM of 149, 702, 696, 960?

Answer: LCM of 149, 702, 696, 960 is 485334720.

2. How to calculate the LCM of 149, 702, 696, 960?

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 149, 702, 696, 960.

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}.