Given numbers are 464,506,306

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

The LCM of 464,506,306 is 17960976.

Find LCM of 464,506,306 with Prime Factorization

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

2 x 232 x 253 x 153 = 17960976

Therefore, the lowest common multiple of 464,506,306 is 17960976.

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 506 x 306 = 71843904

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,506,306, is 2.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

506:2x 11x 23

306:2x 3x 3x 17

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 = 71843904/(2x2)

LCM = 71843904/4

LCM = 17960976

Thus, we can understand that the LCM of 464,506,306 is 17960976.

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

• LCM of 180, 417, 404
• LCM of 213, 987, 341
• LCM of 113, 484, 495
• LCM of 143, 134, 537
• LCM of 294, 511, 274

1. What is the LCM of 464, 506, 306?

Answer: LCM of 464, 506, 306 is 17960976.

2. How to calculate the LCM of 464, 506, 306?

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, 506, 306.

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}.