Given numbers are 688,350,682,743,129

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

The LCM of 688,350,682,743,129 is 91514715600.

Find LCM of 688,350,682,743,129 with Prime Factorization

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

2 x 43 x 8 x 175 x 341 x 743 x 3 = 91514715600

Therefore, the lowest common multiple of 688,350,682,743,129 is 91514715600.

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 350 x 682 x 743 x 129 = 15740531083200

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

682 : 1, 2, 11, 22, 31, 62, 341, 682

743 : 1, 743

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,350,682,743,129, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

350:2x 5x 5x 7

682:2x 11x 31

743:743

129:3x 43

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 43 = 172

Therefore, the value for common factors is 172.

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 = 15740531083200/(1x172)

LCM = 15740531083200/172

LCM = 91514715600

Thus, we can understand that the LCM of 688,350,682,743,129 is 91514715600.

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

• LCM of 569, 480, 509, 543, 121
• LCM of 838, 567, 614, 601, 621
• LCM of 432, 926, 263, 123, 121
• LCM of 661, 719, 261, 149, 831
• LCM of 462, 235, 405, 310, 737

1. What is the LCM of 688, 350, 682, 743, 129?

Answer: LCM of 688, 350, 682, 743, 129 is 91514715600.

2. How to calculate the LCM of 688, 350, 682, 743, 129?

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, 350, 682, 743, 129.

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}.