Given numbers are 461,50,414

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

The LCM of 461,50,414 is 4771350.

Find LCM of 461,50,414 with Prime Factorization

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

2 x 461 x 25 x 207 = 4771350

Therefore, the lowest common multiple of 461,50,414 is 4771350.

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 50 x 414 = 9542700

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

50 : 1, 2, 5, 10, 25, 50

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 461,50,414, is 1.

Now, the common factors can be found like this.

461:461

50:2x 5x 5

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 9542700/(1x2)

LCM = 9542700/2

LCM = 4771350

Thus, we can understand that the LCM of 461,50,414 is 4771350.

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

• LCM of 220, 48, 568
• LCM of 860, 47, 184
• LCM of 244, 59, 932
• LCM of 253, 81, 767
• LCM of 452, 13, 210

1. What is the LCM of 461, 50, 414?

Answer: LCM of 461, 50, 414 is 4771350.

2. How to calculate the LCM of 461, 50, 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, 50, 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}.