Given numbers are 701,493,544,546,239

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

The LCM of 701,493,544,546,239 is 721565007072.

Find LCM of 701,493,544,546,239 with Prime Factorization

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

2 x 17 x 701 x 29 x 16 x 273 x 239 = 721565007072

Therefore, the lowest common multiple of 701,493,544,546,239 is 721565007072.

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.

701 x 493 x 544 x 546 x 239 = 24533210240448

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.

701 : 1, 701

493 : 1, 17, 29, 493

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

239 : 1, 239

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,493,544,546,239, is 1.

Now, the common factors can be found like this.

701:701

493:17x 29

544:2x 2x 2x 2x 2x 17

546:2x 3x 7x 13

239:239

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 24533210240448/(1x34)

LCM = 24533210240448/34

LCM = 721565007072

Thus, we can understand that the LCM of 701,493,544,546,239 is 721565007072.

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

• LCM of 994, 152, 686, 943, 874
• LCM of 773, 177, 819, 310, 657
• LCM of 455, 684, 413, 960, 981
• LCM of 270, 200, 715, 454, 786
• LCM of 823, 220, 917, 491, 550

1. What is the LCM of 701, 493, 544, 546, 239?

Answer: LCM of 701, 493, 544, 546, 239 is 721565007072.

2. How to calculate the LCM of 701, 493, 544, 546, 239?

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 701, 493, 544, 546, 239.

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}.