Given numbers are 327,109,362,461

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

The LCM of 327,109,362,461 is 54570414.

Find LCM of 327,109,362,461 with Prime Factorization

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

109 x 3 x 1 x 362 x 461 = 54570414

Therefore, the lowest common multiple of 327,109,362,461 is 54570414.

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.

327 x 109 x 362 x 461 = 5948175126

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.

327 : 1, 3, 109, 327

109 : 1, 109

362 : 1, 2, 181, 362

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,109,362,461, is 1.

Now, the common factors can be found like this.

327:3x 109

109:109

362:2x 181

461:461

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

109 = 109

Therefore, the value for common factors is 109.

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 = 5948175126/(1x109)

LCM = 5948175126/109

LCM = 54570414

Thus, we can understand that the LCM of 327,109,362,461 is 54570414.

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

• LCM of 750, 813, 287, 475
• LCM of 398, 282, 882, 903
• LCM of 460, 983, 721, 763
• LCM of 123, 919, 277, 840
• LCM of 928, 965, 465, 606

1. What is the LCM of 327, 109, 362, 461?

Answer: LCM of 327, 109, 362, 461 is 54570414.

2. How to calculate the LCM of 327, 109, 362, 461?

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 327, 109, 362, 461.

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}.