Given numbers are 198,190,224,121,593

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

The LCM of 198,190,224,121,593 is 13742134560.

Find LCM of 198,190,224,121,593 with Prime Factorization

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

2 x 11 x 9 x 95 x 112 x 11 x 593 = 13742134560

Therefore, the lowest common multiple of 198,190,224,121,593 is 13742134560.

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.

198 x 190 x 224 x 121 x 593 = 604653920640

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

190 : 1, 2, 5, 10, 19, 38, 95, 190

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

121 : 1, 11, 121

593 : 1, 593

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,190,224,121,593, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

190:2x 5x 19

224:2x 2x 2x 2x 2x 7

121:11x 11

593:593

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 11 = 44

Therefore, the value for common factors is 44.

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 = 604653920640/(1x44)

LCM = 604653920640/44

LCM = 13742134560

Thus, we can understand that the LCM of 198,190,224,121,593 is 13742134560.

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

• LCM of 510, 709, 174, 267, 927
• LCM of 648, 594, 682, 502, 952
• LCM of 156, 271, 150, 625, 783
• LCM of 141, 768, 368, 468, 337
• LCM of 817, 793, 652, 919, 286

1. What is the LCM of 198, 190, 224, 121, 593?

Answer: LCM of 198, 190, 224, 121, 593 is 13742134560.

2. How to calculate the LCM of 198, 190, 224, 121, 593?

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 198, 190, 224, 121, 593.

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}.