Given numbers are 149,375,408,646

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

The LCM of 149,375,408,646 is 144381000.

Find LCM of 149,375,408,646 with Prime Factorization

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

2 x 3 x 17 x 149 x 125 x 4 x 19 = 144381000

Therefore, the lowest common multiple of 149,375,408,646 is 144381000.

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 375 x 408 x 646 = 14726862000

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

375 : 1, 3, 5, 15, 25, 75, 125, 375

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,375,408,646, is 1.

Now, the common factors can be found like this.

149:149

375:3x 5x 5x 5

408:2x 2x 2x 3x 17

646:2x 17x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 14726862000/(1x102)

LCM = 14726862000/102

LCM = 144381000

Thus, we can understand that the LCM of 149,375,408,646 is 144381000.

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

• LCM of 461, 180, 867, 668
• LCM of 334, 248, 397, 843
• LCM of 729, 434, 459, 834
• LCM of 760, 878, 111, 443
• LCM of 476, 252, 682, 600

1. What is the LCM of 149, 375, 408, 646?

Answer: LCM of 149, 375, 408, 646 is 144381000.

2. How to calculate the LCM of 149, 375, 408, 646?

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, 375, 408, 646.

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}.