Given numbers are 460,465,282,552,216

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

The LCM of 460,465,282,552,216 is 36191880.

Find LCM of 460,465,282,552,216 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 1 x 31 x 47 x 1 x 9 = 36191880

Therefore, the lowest common multiple of 460,465,282,552,216 is 36191880.

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 465 x 282 x 552 x 216 = 7192050393600

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

465 : 1, 3, 5, 15, 31, 93, 155, 465

282 : 1, 2, 3, 6, 47, 94, 141, 282

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,465,282,552,216, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

465:3x 5x 31

282:2x 3x 47

552:2x 2x 2x 3x 23

216:2x 2x 2x 3x 3x 3

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 3x 3x 3x 5x 23 = 198720

Therefore, the value for common factors is 198720.

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 = 7192050393600/(1x198720)

LCM = 7192050393600/198720

LCM = 36191880

Thus, we can understand that the LCM of 460,465,282,552,216 is 36191880.

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

• LCM of 918, 539, 275, 637, 933
• LCM of 143, 151, 346, 414, 860
• LCM of 679, 109, 145, 885, 512
• LCM of 683, 745, 698, 969, 350
• LCM of 324, 505, 726, 934, 255

1. What is the LCM of 460, 465, 282, 552, 216?

Answer: LCM of 460, 465, 282, 552, 216 is 36191880.

2. How to calculate the LCM of 460, 465, 282, 552, 216?

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, 465, 282, 552, 216.

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}.