Given numbers are 990,309,283,128,194

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

The LCM of 990,309,283,128,194 is 179147422080.

Find LCM of 990,309,283,128,194 with Prime Factorization

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

2 x 3 x 165 x 103 x 283 x 64 x 97 = 179147422080

Therefore, the lowest common multiple of 990,309,283,128,194 is 179147422080.

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.

990 x 309 x 283 x 128 x 194 = 2149769064960

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.

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

309 : 1, 3, 103, 309

283 : 1, 283

128 : 1, 2, 4, 8, 16, 32, 64, 128

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,309,283,128,194, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

309:3x 103

283:283

128:2x 2x 2x 2x 2x 2x 2

194:2x 97

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 3 = 12

Therefore, the value for common factors is 12.

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 = 2149769064960/(1x12)

LCM = 2149769064960/12

LCM = 179147422080

Thus, we can understand that the LCM of 990,309,283,128,194 is 179147422080.

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

• LCM of 861, 139, 373, 632, 155
• LCM of 157, 547, 358, 152, 659
• LCM of 384, 471, 848, 601, 610
• LCM of 707, 450, 240, 684, 729
• LCM of 804, 588, 575, 588, 679

1. What is the LCM of 990, 309, 283, 128, 194?

Answer: LCM of 990, 309, 283, 128, 194 is 179147422080.

2. How to calculate the LCM of 990, 309, 283, 128, 194?

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 990, 309, 283, 128, 194.

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}.