Given numbers are 733,358,492,114,746

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

The LCM of 733,358,492,114,746 is 457493092428.

Find LCM of 733,358,492,114,746 with Prime Factorization

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

2 x 3 x 733 x 179 x 82 x 19 x 373 = 457493092428

Therefore, the lowest common multiple of 733,358,492,114,746 is 457493092428.

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.

733 x 358 x 492 x 114 x 746 = 10979834218272

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.

733 : 1, 733

358 : 1, 2, 179, 358

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

114 : 1, 2, 3, 6, 19, 38, 57, 114

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,358,492,114,746, is 1.

Now, the common factors can be found like this.

733:733

358:2x 179

492:2x 2x 3x 41

114:2x 3x 19

746:2x 373

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 3 = 24

Therefore, the value for common factors is 24.

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 = 10979834218272/(1x24)

LCM = 10979834218272/24

LCM = 457493092428

Thus, we can understand that the LCM of 733,358,492,114,746 is 457493092428.

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

• LCM of 354, 898, 196, 190, 923
• LCM of 249, 168, 578, 489, 551
• LCM of 649, 297, 774, 600, 247
• LCM of 386, 467, 868, 562, 402
• LCM of 675, 372, 499, 265, 448

1. What is the LCM of 733, 358, 492, 114, 746?

Answer: LCM of 733, 358, 492, 114, 746 is 457493092428.

2. How to calculate the LCM of 733, 358, 492, 114, 746?

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 733, 358, 492, 114, 746.

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}.