Given numbers are 688,532,782,743,115

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

The LCM of 688,532,782,743,115 is 132915507760.

Find LCM of 688,532,782,743,115 with Prime Factorization

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

2 x 2 x 23 x 172 x 133 x 17 x 743 x 5 = 132915507760

Therefore, the lowest common multiple of 688,532,782,743,115 is 132915507760.

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.

688 x 532 x 782 x 743 x 115 = 24456453427840

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.

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

782 : 1, 2, 17, 23, 34, 46, 391, 782

743 : 1, 743

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,532,782,743,115, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

532:2x 2x 7x 19

782:2x 17x 23

743:743

115:5x 23

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 23 = 184

Therefore, the value for common factors is 184.

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 = 24456453427840/(1x184)

LCM = 24456453427840/184

LCM = 132915507760

Thus, we can understand that the LCM of 688,532,782,743,115 is 132915507760.

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

• LCM of 217, 330, 211, 954, 325
• LCM of 758, 523, 340, 605, 545
• LCM of 114, 542, 791, 476, 355
• LCM of 951, 345, 714, 479, 542
• LCM of 148, 303, 189, 649, 337

1. What is the LCM of 688, 532, 782, 743, 115?

Answer: LCM of 688, 532, 782, 743, 115 is 132915507760.

2. How to calculate the LCM of 688, 532, 782, 743, 115?

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 688, 532, 782, 743, 115.

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}.