Given numbers are 464,312,458

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

The LCM of 464,312,458 is 4143984.

Find LCM of 464,312,458 with Prime Factorization

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

2 x 2 x 2 x 58 x 39 x 229 = 4143984

Therefore, the lowest common multiple of 464,312,458 is 4143984.

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.

464 x 312 x 458 = 66303744

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

458 : 1, 2, 229, 458

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,312,458, is 2.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

312:2x 2x 2x 3x 13

458:2x 229

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 2 = 8

Therefore, the value for common factors is 8.

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 = 66303744/(2x8)

LCM = 66303744/16

LCM = 4143984

Thus, we can understand that the LCM of 464,312,458 is 4143984.

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

• LCM of 951, 486, 742
• LCM of 800, 328, 813
• LCM of 666, 295, 368
• LCM of 651, 810, 411
• LCM of 685, 365, 659

1. What is the LCM of 464, 312, 458?

Answer: LCM of 464, 312, 458 is 4143984.

2. How to calculate the LCM of 464, 312, 458?

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 464, 312, 458.

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}.