Given numbers are 461,538,456,414

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

The LCM of 461,538,456,414 is 3901819176.

Find LCM of 461,538,456,414 with Prime Factorization

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

2 x 3 x 461 x 269 x 76 x 69 = 3901819176

Therefore, the lowest common multiple of 461,538,456,414 is 3901819176.

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 538 x 456 x 414 = 46821830112

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

538 : 1, 2, 269, 538

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,538,456,414, is 1.

Now, the common factors can be found like this.

461:461

538:2x 269

456:2x 2x 2x 3x 19

414:2x 3x 3x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 46821830112/(1x12)

LCM = 46821830112/12

LCM = 3901819176

Thus, we can understand that the LCM of 461,538,456,414 is 3901819176.

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

• LCM of 911, 617, 856, 826
• LCM of 940, 424, 509, 748
• LCM of 118, 443, 173, 433
• LCM of 650, 962, 773, 391
• LCM of 761, 352, 807, 155

1. What is the LCM of 461, 538, 456, 414?

Answer: LCM of 461, 538, 456, 414 is 3901819176.

2. How to calculate the LCM of 461, 538, 456, 414?

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, 538, 456, 414.

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}.