Given numbers are 688,413,730,495

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

The LCM of 688,413,730,495 is 10267543440.

Find LCM of 688,413,730,495 with Prime Factorization

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

2 x 5 x 344 x 413 x 73 x 99 = 10267543440

Therefore, the lowest common multiple of 688,413,730,495 is 10267543440.

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 413 x 730 x 495 = 102675434400

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

413 : 1, 7, 59, 413

730 : 1, 2, 5, 10, 73, 146, 365, 730

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,413,730,495, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

413:7x 59

730:2x 5x 73

495:3x 3x 5x 11

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 102675434400/(1x10)

LCM = 102675434400/10

LCM = 10267543440

Thus, we can understand that the LCM of 688,413,730,495 is 10267543440.

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

• LCM of 452, 728, 135, 420
• LCM of 769, 268, 779, 286
• LCM of 992, 925, 463, 958
• LCM of 454, 522, 835, 518
• LCM of 476, 113, 880, 282

1. What is the LCM of 688, 413, 730, 495?

Answer: LCM of 688, 413, 730, 495 is 10267543440.

2. How to calculate the LCM of 688, 413, 730, 495?

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, 413, 730, 495.

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}.