Given numbers are 255,643,720,616,171

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

The LCM of 255,643,720,616,171 is 11514278160.

Find LCM of 255,643,720,616,171 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 17 x 643 x 2 x 77 x 19 = 11514278160

Therefore, the lowest common multiple of 255,643,720,616,171 is 11514278160.

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.

255 x 643 x 720 x 616 x 171 = 12435420412800

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.

255 : 1, 3, 5, 15, 17, 51, 85, 255

643 : 1, 643

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,643,720,616,171, is 1.

Now, the common factors can be found like this.

255:3x 5x 17

643:643

720:2x 2x 2x 2x 3x 3x 5

616:2x 2x 2x 7x 11

171:3x 3x 19

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 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 12435420412800/(1x1080)

LCM = 12435420412800/1080

LCM = 11514278160

Thus, we can understand that the LCM of 255,643,720,616,171 is 11514278160.

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

• LCM of 950, 355, 141, 487, 861
• LCM of 642, 654, 325, 719, 906
• LCM of 127, 709, 713, 835, 931
• LCM of 731, 422, 377, 293, 175
• LCM of 919, 839, 206, 901, 310

1. What is the LCM of 255, 643, 720, 616, 171?

Answer: LCM of 255, 643, 720, 616, 171 is 11514278160.

2. How to calculate the LCM of 255, 643, 720, 616, 171?

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 255, 643, 720, 616, 171.

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}.