Given numbers are 460,828,121,488,280

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

The LCM of 460,828,121,488,280 is 427802760.

Find LCM of 460,828,121,488,280 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 1 x 9 x 121 x 61 x 7 = 427802760

Therefore, the lowest common multiple of 460,828,121,488,280 is 427802760.

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 828 x 121 x 488 x 280 = 6297256627200

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

121 : 1, 11, 121

488 : 1, 2, 4, 8, 61, 122, 244, 488

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,828,121,488,280, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

828:2x 2x 3x 3x 23

121:11x 11

488:2x 2x 2x 61

280:2x 2x 2x 5x 7

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 2x 2x 2x 5x 23 = 14720

Therefore, the value for common factors is 14720.

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 = 6297256627200/(1x14720)

LCM = 6297256627200/14720

LCM = 427802760

Thus, we can understand that the LCM of 460,828,121,488,280 is 427802760.

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

• LCM of 818, 129, 533, 461, 834
• LCM of 931, 847, 806, 241, 602
• LCM of 452, 611, 543, 496, 244
• LCM of 113, 593, 800, 948, 115
• LCM of 724, 225, 675, 916, 941

1. What is the LCM of 460, 828, 121, 488, 280?

Answer: LCM of 460, 828, 121, 488, 280 is 427802760.

2. How to calculate the LCM of 460, 828, 121, 488, 280?

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, 828, 121, 488, 280.

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}.