Given numbers are 493,508,381,269

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

The LCM of 493,508,381,269 is 202108308.

Find LCM of 493,508,381,269 with Prime Factorization

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

127 x 493 x 4 x 3 x 269 = 202108308

Therefore, the lowest common multiple of 493,508,381,269 is 202108308.

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.

493 x 508 x 381 x 269 = 25667755116

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.

493 : 1, 17, 29, 493

508 : 1, 2, 4, 127, 254, 508

381 : 1, 3, 127, 381

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,508,381,269, is 1.

Now, the common factors can be found like this.

493:17x 29

508:2x 2x 127

381:3x 127

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.

127 = 127

Therefore, the value for common factors is 127.

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 = 25667755116/(1x127)

LCM = 25667755116/127

LCM = 202108308

Thus, we can understand that the LCM of 493,508,381,269 is 202108308.

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

• LCM of 763, 247, 500, 909
• LCM of 671, 833, 433, 290
• LCM of 188, 791, 859, 137
• LCM of 694, 716, 962, 524
• LCM of 343, 239, 763, 315

1. What is the LCM of 493, 508, 381, 269?

Answer: LCM of 493, 508, 381, 269 is 202108308.

2. How to calculate the LCM of 493, 508, 381, 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 493, 508, 381, 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}.