Given numbers are 461,687,229,331

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

The LCM of 461,687,229,331 is 104830017.

Find LCM of 461,687,229,331 with Prime Factorization

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

229 x 461 x 3 x 1 x 331 = 104830017

Therefore, the lowest common multiple of 461,687,229,331 is 104830017.

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.

461 x 687 x 229 x 331 = 24006073893

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.

461 : 1, 461

687 : 1, 3, 229, 687

229 : 1, 229

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,687,229,331, is 1.

Now, the common factors can be found like this.

461:461

687:3x 229

229:229

331:331

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

229 = 229

Therefore, the value for common factors is 229.

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 = 24006073893/(1x229)

LCM = 24006073893/229

LCM = 104830017

Thus, we can understand that the LCM of 461,687,229,331 is 104830017.

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

• LCM of 678, 714, 466, 695
• LCM of 373, 626, 441, 479
• LCM of 202, 391, 239, 612
• LCM of 399, 963, 937, 406
• LCM of 179, 209, 355, 635

1. What is the LCM of 461, 687, 229, 331?

Answer: LCM of 461, 687, 229, 331 is 104830017.

2. How to calculate the LCM of 461, 687, 229, 331?

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 461, 687, 229, 331.

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}.