Given numbers are 271,713,128,774,614

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

The LCM of 271,713,128,774,614 is 2938448820096.

Find LCM of 271,713,128,774,614 with Prime Factorization

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

2 x 271 x 713 x 64 x 387 x 307 = 2938448820096

Therefore, the lowest common multiple of 271,713,128,774,614 is 2938448820096.

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.

271 x 713 x 128 x 774 x 614 = 11753795280384

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.

271 : 1, 271

713 : 1, 23, 31, 713

128 : 1, 2, 4, 8, 16, 32, 64, 128

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,713,128,774,614, is 1.

Now, the common factors can be found like this.

271:271

713:23x 31

128:2x 2x 2x 2x 2x 2x 2

774:2x 3x 3x 43

614:2x 307

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 11753795280384/(1x4)

LCM = 11753795280384/4

LCM = 2938448820096

Thus, we can understand that the LCM of 271,713,128,774,614 is 2938448820096.

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

• LCM of 512, 372, 570, 597, 740
• LCM of 146, 638, 704, 612, 583
• LCM of 418, 883, 460, 510, 198
• LCM of 342, 670, 807, 616, 677
• LCM of 318, 314, 887, 391, 414

1. What is the LCM of 271, 713, 128, 774, 614?

Answer: LCM of 271, 713, 128, 774, 614 is 2938448820096.

2. How to calculate the LCM of 271, 713, 128, 774, 614?

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 271, 713, 128, 774, 614.

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}.