Given numbers are 517,320,990,149

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

The LCM of 517,320,990,149 is 221855040.

Find LCM of 517,320,990,149 with Prime Factorization

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

2 x 5 x 11 x 47 x 32 x 9 x 149 = 221855040

Therefore, the lowest common multiple of 517,320,990,149 is 221855040.

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.

517 x 320 x 990 x 149 = 24404054400

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.

517 : 1, 11, 47, 517

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,320,990,149, is 1.

Now, the common factors can be found like this.

517:11x 47

320:2x 2x 2x 2x 2x 2x 5

990:2x 3x 3x 5x 11

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.

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 24404054400/(1x110)

LCM = 24404054400/110

LCM = 221855040

Thus, we can understand that the LCM of 517,320,990,149 is 221855040.

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

• LCM of 742, 870, 594, 549
• LCM of 760, 681, 352, 164
• LCM of 506, 955, 691, 976
• LCM of 268, 150, 336, 506
• LCM of 297, 496, 539, 622

1. What is the LCM of 517, 320, 990, 149?

Answer: LCM of 517, 320, 990, 149 is 221855040.

2. How to calculate the LCM of 517, 320, 990, 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 517, 320, 990, 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}.