Given numbers are 271,198,151,104,642

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

The LCM of 271,198,151,104,642 is 45081519912.

Find LCM of 271,198,151,104,642 with Prime Factorization

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

2 x 3 x 271 x 33 x 151 x 52 x 107 = 45081519912

Therefore, the lowest common multiple of 271,198,151,104,642 is 45081519912.

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.

271 x 198 x 151 x 104 x 642 = 540978238944

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.

271 : 1, 271

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

151 : 1, 151

104 : 1, 2, 4, 8, 13, 26, 52, 104

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,198,151,104,642, is 1.

Now, the common factors can be found like this.

271:271

198:2x 3x 3x 11

151:151

104:2x 2x 2x 13

642:2x 3x 107

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 = 540978238944/(1x12)

LCM = 540978238944/12

LCM = 45081519912

Thus, we can understand that the LCM of 271,198,151,104,642 is 45081519912.

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

• LCM of 690, 352, 151, 639, 712
• LCM of 920, 674, 985, 422, 524
• LCM of 807, 567, 869, 116, 726
• LCM of 613, 323, 357, 666, 927
• LCM of 419, 223, 217, 728, 251

1. What is the LCM of 271, 198, 151, 104, 642?

Answer: LCM of 271, 198, 151, 104, 642 is 45081519912.

2. How to calculate the LCM of 271, 198, 151, 104, 642?

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 271, 198, 151, 104, 642.

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}.