Given numbers are 283,248,361,513,269

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

The LCM of 283,248,361,513,269 is 184018447512.

Find LCM of 283,248,361,513,269 with Prime Factorization

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

19 x 283 x 248 x 19 x 27 x 269 = 184018447512

Therefore, the lowest common multiple of 283,248,361,513,269 is 184018447512.

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.

283 x 248 x 361 x 513 x 269 = 3496350502728

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.

283 : 1, 283

248 : 1, 2, 4, 8, 31, 62, 124, 248

361 : 1, 19, 361

513 : 1, 3, 9, 19, 27, 57, 171, 513

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,248,361,513,269, is 1.

Now, the common factors can be found like this.

283:283

248:2x 2x 2x 31

361:19x 19

513:3x 3x 3x 19

269:269

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

19 = 19

Therefore, the value for common factors is 19.

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 = 3496350502728/(1x19)

LCM = 3496350502728/19

LCM = 184018447512

Thus, we can understand that the LCM of 283,248,361,513,269 is 184018447512.

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

• LCM of 189, 684, 968, 904, 139
• LCM of 193, 631, 382, 552, 233
• LCM of 153, 580, 928, 680, 460
• LCM of 558, 841, 374, 868, 261
• LCM of 741, 342, 374, 179, 832

1. What is the LCM of 283, 248, 361, 513, 269?

Answer: LCM of 283, 248, 361, 513, 269 is 184018447512.

2. How to calculate the LCM of 283, 248, 361, 513, 269?

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 283, 248, 361, 513, 269.

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}.