Given numbers are 460,572,232,984

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

The LCM of 460,572,232,984 is 469274520.

Find LCM of 460,572,232,984 with Prime Factorization

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

2 x 2 x 2 x 115 x 143 x 29 x 123 = 469274520

Therefore, the lowest common multiple of 460,572,232,984 is 469274520.

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 572 x 232 x 984 = 60067138560

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

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,572,232,984, is 4.

Now, the common factors can be found like this.

460:2x 2x 5x 23

572:2x 2x 11x 13

232:2x 2x 2x 29

984:2x 2x 2x 3x 41

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 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 60067138560/(4x32)

LCM = 60067138560/128

LCM = 469274520

Thus, we can understand that the LCM of 460,572,232,984 is 469274520.

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

• LCM of 599, 683, 747, 185
• LCM of 280, 147, 612, 393
• LCM of 361, 436, 548, 675
• LCM of 661, 663, 731, 900
• LCM of 415, 507, 630, 692

1. What is the LCM of 460, 572, 232, 984?

Answer: LCM of 460, 572, 232, 984 is 469274520.

2. How to calculate the LCM of 460, 572, 232, 984?

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, 572, 232, 984.

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}.