Given numbers are 271,287,437,418,114

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

The LCM of 271,287,437,418,114 is 2243244234.

Find LCM of 271,287,437,418,114 with Prime Factorization

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

2 x 19 x 271 x 287 x 23 x 11 x 3 = 2243244234

Therefore, the lowest common multiple of 271,287,437,418,114 is 2243244234.

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 287 x 437 x 418 x 114 = 1619622336948

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

287 : 1, 7, 41, 287

437 : 1, 19, 23, 437

418 : 1, 2, 11, 19, 22, 38, 209, 418

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,287,437,418,114, is 1.

Now, the common factors can be found like this.

271:271

287:7x 41

437:19x 23

418:2x 11x 19

114:2x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 19x 19 = 722

Therefore, the value for common factors is 722.

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 = 1619622336948/(1x722)

LCM = 1619622336948/722

LCM = 2243244234

Thus, we can understand that the LCM of 271,287,437,418,114 is 2243244234.

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

• LCM of 921, 862, 920, 648, 799
• LCM of 560, 200, 148, 266, 926
• LCM of 876, 610, 597, 827, 367
• LCM of 130, 607, 433, 658, 587
• LCM of 382, 885, 287, 649, 787

1. What is the LCM of 271, 287, 437, 418, 114?

Answer: LCM of 271, 287, 437, 418, 114 is 2243244234.

2. How to calculate the LCM of 271, 287, 437, 418, 114?

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, 287, 437, 418, 114.

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}.