Given numbers are 460,453,311,524

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

The LCM of 460,453,311,524 is 8489609580.

Find LCM of 460,453,311,524 with Prime Factorization

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

2 x 2 x 115 x 453 x 311 x 131 = 8489609580

Therefore, the lowest common multiple of 460,453,311,524 is 8489609580.

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.

460 x 453 x 311 x 524 = 33958438320

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

453 : 1, 3, 151, 453

311 : 1, 311

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,453,311,524, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

453:3x 151

311:311

524:2x 2x 131

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 33958438320/(1x4)

LCM = 33958438320/4

LCM = 8489609580

Thus, we can understand that the LCM of 460,453,311,524 is 8489609580.

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

• LCM of 339, 197, 585, 430
• LCM of 135, 531, 841, 895
• LCM of 870, 757, 409, 805
• LCM of 471, 486, 405, 810
• LCM of 859, 121, 625, 341

1. What is the LCM of 460, 453, 311, 524?

Answer: LCM of 460, 453, 311, 524 is 8489609580.

2. How to calculate the LCM of 460, 453, 311, 524?

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 460, 453, 311, 524.

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}.