Given numbers are 461,583,298,424

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

The LCM of 461,583,298,424 is 320365496.

Find LCM of 461,583,298,424 with Prime Factorization

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

2 x 53 x 461 x 11 x 149 x 4 = 320365496

Therefore, the lowest common multiple of 461,583,298,424 is 320365496.

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 583 x 298 x 424 = 33958742576

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

583 : 1, 11, 53, 583

298 : 1, 2, 149, 298

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,583,298,424, is 1.

Now, the common factors can be found like this.

461:461

583:11x 53

298:2x 149

424:2x 2x 2x 53

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

2x 53 = 106

Therefore, the value for common factors is 106.

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 = 33958742576/(1x106)

LCM = 33958742576/106

LCM = 320365496

Thus, we can understand that the LCM of 461,583,298,424 is 320365496.

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

• LCM of 260, 962, 203, 254
• LCM of 460, 255, 374, 225
• LCM of 218, 317, 610, 534
• LCM of 604, 599, 793, 797
• LCM of 859, 274, 274, 729

1. What is the LCM of 461, 583, 298, 424?

Answer: LCM of 461, 583, 298, 424 is 320365496.

2. How to calculate the LCM of 461, 583, 298, 424?

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, 583, 298, 424.

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}.