Given numbers are 645,507,381,186

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

The LCM of 645,507,381,186 is 858305370.

Find LCM of 645,507,381,186 with Prime Factorization

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

3 x 215 x 169 x 127 x 62 = 858305370

Therefore, the lowest common multiple of 645,507,381,186 is 858305370.

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.

645 x 507 x 381 x 186 = 23174244990

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

507 : 1, 3, 13, 39, 169, 507

381 : 1, 3, 127, 381

186 : 1, 2, 3, 6, 31, 62, 93, 186

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,507,381,186, is 3.

Now, the common factors can be found like this.

645:3x 5x 43

507:3x 13x 13

381:3x 127

186:2x 3x 31

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 23174244990/(3x9)

LCM = 23174244990/27

LCM = 858305370

Thus, we can understand that the LCM of 645,507,381,186 is 858305370.

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

• LCM of 881, 217, 442, 975
• LCM of 783, 802, 316, 937
• LCM of 816, 898, 327, 267
• LCM of 573, 476, 454, 155
• LCM of 797, 813, 791, 844

1. What is the LCM of 645, 507, 381, 186?

Answer: LCM of 645, 507, 381, 186 is 858305370.

2. How to calculate the LCM of 645, 507, 381, 186?

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 645, 507, 381, 186.

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}.