Given numbers are 149,760,416,357

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

The LCM of 149,760,416,357 is 2102187360.

Find LCM of 149,760,416,357 with Prime Factorization

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

2 x 2 x 2 x 149 x 95 x 52 x 357 = 2102187360

Therefore, the lowest common multiple of 149,760,416,357 is 2102187360.

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 760 x 416 x 357 = 16817498880

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

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,760,416,357, is 1.

Now, the common factors can be found like this.

149:149

760:2x 2x 2x 5x 19

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

357:3x 7x 17

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 2 = 8

Therefore, the value for common factors is 8.

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 = 16817498880/(1x8)

LCM = 16817498880/8

LCM = 2102187360

Thus, we can understand that the LCM of 149,760,416,357 is 2102187360.

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

• LCM of 532, 998, 180, 191
• LCM of 782, 975, 672, 112
• LCM of 204, 149, 649, 378
• LCM of 446, 277, 194, 892
• LCM of 302, 260, 163, 868

1. What is the LCM of 149, 760, 416, 357?

Answer: LCM of 149, 760, 416, 357 is 2102187360.

2. How to calculate the LCM of 149, 760, 416, 357?

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, 760, 416, 357.

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}.