Given numbers are 920,393,680,260,215

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

The LCM of 920,393,680,260,215 is 3435904680.

Find LCM of 920,393,680,260,215 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 393 x 17 x 13 x 43 = 3435904680

Therefore, the lowest common multiple of 920,393,680,260,215 is 3435904680.

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.

920 x 393 x 680 x 260 x 215 = 13743618720000

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

393 : 1, 3, 131, 393

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

215 : 1, 5, 43, 215

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,393,680,260,215, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

393:3x 131

680:2x 2x 2x 5x 17

260:2x 2x 5x 13

215:5x 43

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 5x 5x 5 = 4000

Therefore, the value for common factors is 4000.

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 = 13743618720000/(1x4000)

LCM = 13743618720000/4000

LCM = 3435904680

Thus, we can understand that the LCM of 920,393,680,260,215 is 3435904680.

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

• LCM of 846, 150, 372, 268, 271
• LCM of 497, 855, 274, 792, 710
• LCM of 443, 525, 742, 551, 951
• LCM of 890, 177, 495, 260, 994
• LCM of 345, 496, 776, 771, 735

1. What is the LCM of 920, 393, 680, 260, 215?

Answer: LCM of 920, 393, 680, 260, 215 is 3435904680.

2. How to calculate the LCM of 920, 393, 680, 260, 215?

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 920, 393, 680, 260, 215.

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}.