Given numbers are 705,688,706,857,349

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

The LCM of 705,688,706,857,349 is 51210440258160.

Find LCM of 705,688,706,857,349 with Prime Factorization

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

2 x 705 x 344 x 353 x 857 x 349 = 51210440258160

Therefore, the lowest common multiple of 705,688,706,857,349 is 51210440258160.

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.

705 x 688 x 706 x 857 x 349 = 102420880516320

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

706 : 1, 2, 353, 706

857 : 1, 857

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,688,706,857,349, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

688:2x 2x 2x 2x 43

706:2x 353

857:857

349:349

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

2 = 2

Therefore, the value for common factors is 2.

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 = 102420880516320/(1x2)

LCM = 102420880516320/2

LCM = 51210440258160

Thus, we can understand that the LCM of 705,688,706,857,349 is 51210440258160.

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

• LCM of 661, 179, 132, 380, 828
• LCM of 792, 610, 958, 318, 194
• LCM of 793, 224, 813, 969, 273
• LCM of 799, 509, 596, 682, 450
• LCM of 586, 519, 192, 349, 782

1. What is the LCM of 705, 688, 706, 857, 349?

Answer: LCM of 705, 688, 706, 857, 349 is 51210440258160.

2. How to calculate the LCM of 705, 688, 706, 857, 349?

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 705, 688, 706, 857, 349.

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}.