Given numbers are 502,468,618,981,381

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

The LCM of 502,468,618,981,381 is 167489280972.

Find LCM of 502,468,618,981,381 with Prime Factorization

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

2 x 3 x 3 x 251 x 26 x 103 x 109 x 127 = 167489280972

Therefore, the lowest common multiple of 502,468,618,981,381 is 167489280972.

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.

502 x 468 x 618 x 981 x 381 = 54266527034928

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.

502 : 1, 2, 251, 502

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

618 : 1, 2, 3, 6, 103, 206, 309, 618

981 : 1, 3, 9, 109, 327, 981

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,468,618,981,381, is 1.

Now, the common factors can be found like this.

502:2x 251

468:2x 2x 3x 3x 13

618:2x 3x 103

981:3x 3x 109

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 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 54266527034928/(1x324)

LCM = 54266527034928/324

LCM = 167489280972

Thus, we can understand that the LCM of 502,468,618,981,381 is 167489280972.

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

• LCM of 844, 244, 950, 904, 506
• LCM of 167, 558, 938, 636, 997
• LCM of 412, 776, 713, 713, 503
• LCM of 905, 507, 398, 792, 316
• LCM of 221, 501, 724, 592, 545

1. What is the LCM of 502, 468, 618, 981, 381?

Answer: LCM of 502, 468, 618, 981, 381 is 167489280972.

2. How to calculate the LCM of 502, 468, 618, 981, 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 502, 468, 618, 981, 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}.