Given numbers are 198,209,572,434,949

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

The LCM of 198,209,572,434,949 is 1549439892.

Find LCM of 198,209,572,434,949 with Prime Factorization

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

2 x 11 x 13 x 9 x 19 x 2 x 217 x 73 = 1549439892

Therefore, the lowest common multiple of 198,209,572,434,949 is 1549439892.

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 209 x 572 x 434 x 949 = 9749075800464

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

209 : 1, 11, 19, 209

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

434 : 1, 2, 7, 14, 31, 62, 217, 434

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,209,572,434,949, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

209:11x 19

572:2x 2x 11x 13

434:2x 7x 31

949:13x 73

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 11x 11x 13 = 6292

Therefore, the value for common factors is 6292.

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 = 9749075800464/(1x6292)

LCM = 9749075800464/6292

LCM = 1549439892

Thus, we can understand that the LCM of 198,209,572,434,949 is 1549439892.

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

• LCM of 126, 724, 241, 849, 948
• LCM of 881, 333, 118, 586, 795
• LCM of 419, 955, 949, 635, 436
• LCM of 830, 171, 584, 845, 894
• LCM of 690, 143, 691, 148, 492

1. What is the LCM of 198, 209, 572, 434, 949?

Answer: LCM of 198, 209, 572, 434, 949 is 1549439892.

2. How to calculate the LCM of 198, 209, 572, 434, 949?

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, 209, 572, 434, 949.

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}.