Given numbers are 292,315,358,674,382

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

The LCM of 292,315,358,674,382 is 1059765322140.

Find LCM of 292,315,358,674,382 with Prime Factorization

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

2 x 146 x 315 x 179 x 337 x 191 = 1059765322140

Therefore, the lowest common multiple of 292,315,358,674,382 is 1059765322140.

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.

292 x 315 x 358 x 674 x 382 = 8478122577120

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.

292 : 1, 2, 4, 73, 146, 292

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

358 : 1, 2, 179, 358

674 : 1, 2, 337, 674

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,315,358,674,382, is 1.

Now, the common factors can be found like this.

292:2x 2x 73

315:3x 3x 5x 7

358:2x 179

674:2x 337

382:2x 191

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 2 = 8

Therefore, the value for common factors is 8.

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 = 8478122577120/(1x8)

LCM = 8478122577120/8

LCM = 1059765322140

Thus, we can understand that the LCM of 292,315,358,674,382 is 1059765322140.

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

• LCM of 122, 104, 560, 147, 243
• LCM of 596, 559, 258, 536, 804
• LCM of 272, 937, 414, 923, 394
• LCM of 392, 196, 747, 659, 504
• LCM of 448, 568, 492, 228, 599

1. What is the LCM of 292, 315, 358, 674, 382?

Answer: LCM of 292, 315, 358, 674, 382 is 1059765322140.

2. How to calculate the LCM of 292, 315, 358, 674, 382?

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 292, 315, 358, 674, 382.

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}.