Given numbers are 272,968,545,566,342

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

The LCM of 272,968,545,566,342 is 868027176720.

Find LCM of 272,968,545,566,342 with Prime Factorization

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

2 x 2 x 2 x 34 x 121 x 545 x 283 x 171 = 868027176720

Therefore, the lowest common multiple of 272,968,545,566,342 is 868027176720.

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.

272 x 968 x 545 x 566 x 342 = 27776869655040

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

545 : 1, 5, 109, 545

566 : 1, 2, 283, 566

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,968,545,566,342, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

968:2x 2x 2x 11x 11

545:5x 109

566:2x 283

342:2x 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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 27776869655040/(1x32)

LCM = 27776869655040/32

LCM = 868027176720

Thus, we can understand that the LCM of 272,968,545,566,342 is 868027176720.

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

• LCM of 905, 884, 406, 996, 858
• LCM of 167, 200, 674, 979, 982
• LCM of 638, 352, 452, 714, 146
• LCM of 681, 640, 350, 654, 379
• LCM of 466, 380, 830, 459, 120

1. What is the LCM of 272, 968, 545, 566, 342?

Answer: LCM of 272, 968, 545, 566, 342 is 868027176720.

2. How to calculate the LCM of 272, 968, 545, 566, 342?

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 272, 968, 545, 566, 342.

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}.