Given numbers are 324,458,974

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

The LCM of 324,458,974 is 36133452.

Find LCM of 324,458,974 with Prime Factorization

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

2 x 162 x 229 x 487 = 36133452

Therefore, the lowest common multiple of 324,458,974 is 36133452.

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.

324 x 458 x 974 = 144533808

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

458 : 1, 2, 229, 458

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,458,974, is 2.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

458:2x 229

974:2x 487

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 = 144533808/(2x2)

LCM = 144533808/4

LCM = 36133452

Thus, we can understand that the LCM of 324,458,974 is 36133452.

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

• LCM of 622, 150, 445
• LCM of 806, 321, 835
• LCM of 563, 940, 944
• LCM of 300, 728, 579
• LCM of 202, 719, 225

1. What is the LCM of 324, 458, 974?

Answer: LCM of 324, 458, 974 is 36133452.

2. How to calculate the LCM of 324, 458, 974?

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 324, 458, 974.

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}.