Given numbers are 312,460,473,572,365

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

The LCM of 312,460,473,572,365 is 1238900520.

Find LCM of 312,460,473,572,365 with Prime Factorization

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

2 x 2 x 5 x 11 x 13 x 6 x 23 x 43 x 1 x 73 = 1238900520

Therefore, the lowest common multiple of 312,460,473,572,365 is 1238900520.

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.

312 x 460 x 473 x 572 x 365 = 14173021948800

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.

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

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

473 : 1, 11, 43, 473

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

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,460,473,572,365, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

460:2x 2x 5x 23

473:11x 43

572:2x 2x 11x 13

365:5x 73

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 5x 11x 13 = 11440

Therefore, the value for common factors is 11440.

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 = 14173021948800/(1x11440)

LCM = 14173021948800/11440

LCM = 1238900520

Thus, we can understand that the LCM of 312,460,473,572,365 is 1238900520.

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

• LCM of 159, 523, 468, 219, 297
• LCM of 632, 535, 278, 835, 800
• LCM of 493, 461, 516, 248, 298
• LCM of 535, 999, 654, 173, 673
• LCM of 492, 433, 757, 909, 543

1. What is the LCM of 312, 460, 473, 572, 365?

Answer: LCM of 312, 460, 473, 572, 365 is 1238900520.

2. How to calculate the LCM of 312, 460, 473, 572, 365?

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 312, 460, 473, 572, 365.

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}.