Given numbers are 187,614,442,306,381

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

The LCM of 187,614,442,306,381 is 1706080662.

Find LCM of 187,614,442,306,381 with Prime Factorization

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

2 x 3 x 17 x 11 x 307 x 13 x 3 x 127 = 1706080662

Therefore, the lowest common multiple of 187,614,442,306,381 is 1706080662.

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.

187 x 614 x 442 x 306 x 381 = 5916687735816

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.

187 : 1, 11, 17, 187

614 : 1, 2, 307, 614

442 : 1, 2, 13, 17, 26, 34, 221, 442

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,614,442,306,381, is 1.

Now, the common factors can be found like this.

187:11x 17

614:2x 307

442:2x 13x 17

306:2x 3x 3x 17

381:3x 127

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 3x 17x 17 = 3468

Therefore, the value for common factors is 3468.

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 = 5916687735816/(1x3468)

LCM = 5916687735816/3468

LCM = 1706080662

Thus, we can understand that the LCM of 187,614,442,306,381 is 1706080662.

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

• LCM of 891, 108, 167, 221, 382
• LCM of 993, 176, 567, 978, 428
• LCM of 636, 814, 366, 975, 116
• LCM of 261, 645, 983, 665, 455
• LCM of 325, 934, 800, 892, 361

1. What is the LCM of 187, 614, 442, 306, 381?

Answer: LCM of 187, 614, 442, 306, 381 is 1706080662.

2. How to calculate the LCM of 187, 614, 442, 306, 381?

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 187, 614, 442, 306, 381.

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}.