Given numbers are 252,286,317,407,253

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

The LCM of 252,286,317,407,253 is 9721323612.

Find LCM of 252,286,317,407,253 with Prime Factorization

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

2 x 11 x 126 x 13 x 317 x 37 x 23 = 9721323612

Therefore, the lowest common multiple of 252,286,317,407,253 is 9721323612.

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.

252 x 286 x 317 x 407 x 253 = 2352560314104

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

286 : 1, 2, 11, 13, 22, 26, 143, 286

317 : 1, 317

407 : 1, 11, 37, 407

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,286,317,407,253, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

286:2x 11x 13

317:317

407:11x 37

253:11x 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 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 2352560314104/(1x242)

LCM = 2352560314104/242

LCM = 9721323612

Thus, we can understand that the LCM of 252,286,317,407,253 is 9721323612.

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

• LCM of 231, 674, 644, 161, 378
• LCM of 585, 902, 323, 799, 824
• LCM of 272, 953, 422, 248, 284
• LCM of 162, 586, 384, 376, 823
• LCM of 417, 440, 428, 453, 970

1. What is the LCM of 252, 286, 317, 407, 253?

Answer: LCM of 252, 286, 317, 407, 253 is 9721323612.

2. How to calculate the LCM of 252, 286, 317, 407, 253?

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 252, 286, 317, 407, 253.

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}.