Given numbers are 456,107,582

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

The LCM of 456,107,582 is 4732824.

Find LCM of 456,107,582 with Prime Factorization

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

2 x 3 x 76 x 107 x 97 = 4732824

Therefore, the lowest common multiple of 456,107,582 is 4732824.

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.

456 x 107 x 582 = 28396944

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.

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

107 : 1, 107

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,107,582, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

107:107

582:2x 3x 97

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 28396944/(1x6)

LCM = 28396944/6

LCM = 4732824

Thus, we can understand that the LCM of 456,107,582 is 4732824.

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

• LCM of 219, 363, 101
• LCM of 548, 886, 271
• LCM of 112, 551, 859
• LCM of 998, 180, 720
• LCM of 782, 994, 146

1. What is the LCM of 456, 107, 582?

Answer: LCM of 456, 107, 582 is 4732824.

2. How to calculate the LCM of 456, 107, 582?

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 456, 107, 582.

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}.