Given numbers are 812,460,273,249,540

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

The LCM of 812,460,273,249,540 is 2720439540.

Find LCM of 812,460,273,249,540 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 29 x 23 x 13 x 83 x 9 = 2720439540

Therefore, the lowest common multiple of 812,460,273,249,540 is 2720439540.

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.

812 x 460 x 273 x 249 x 540 = 13711015281600

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

249 : 1, 3, 83, 249

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,460,273,249,540, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

460:2x 2x 5x 23

273:3x 7x 13

249:3x 83

540:2x 2x 3x 3x 3x 5

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 3x 3x 5x 7 = 5040

Therefore, the value for common factors is 5040.

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 = 13711015281600/(1x5040)

LCM = 13711015281600/5040

LCM = 2720439540

Thus, we can understand that the LCM of 812,460,273,249,540 is 2720439540.

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

• LCM of 486, 689, 312, 134, 163
• LCM of 159, 736, 653, 975, 290
• LCM of 380, 581, 105, 548, 113
• LCM of 677, 756, 540, 842, 595
• LCM of 944, 548, 135, 472, 248

1. What is the LCM of 812, 460, 273, 249, 540?

Answer: LCM of 812, 460, 273, 249, 540 is 2720439540.

2. How to calculate the LCM of 812, 460, 273, 249, 540?

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 812, 460, 273, 249, 540.

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}.