Given numbers are 269,271,338,262

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

The LCM of 269,271,338,262 is 3227821922.

Find LCM of 269,271,338,262 with Prime Factorization

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

2 x 269 x 271 x 169 x 131 = 3227821922

Therefore, the lowest common multiple of 269,271,338,262 is 3227821922.

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.

269 x 271 x 338 x 262 = 6455643844

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.

269 : 1, 269

271 : 1, 271

338 : 1, 2, 13, 26, 169, 338

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,271,338,262, is 1.

Now, the common factors can be found like this.

269:269

271:271

338:2x 13x 13

262:2x 131

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

2 = 2

Therefore, the value for common factors is 2.

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 = 6455643844/(1x2)

LCM = 6455643844/2

LCM = 3227821922

Thus, we can understand that the LCM of 269,271,338,262 is 3227821922.

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

• LCM of 636, 808, 644, 899
• LCM of 638, 295, 140, 602
• LCM of 881, 922, 471, 693
• LCM of 220, 863, 379, 593
• LCM of 245, 262, 459, 189

1. What is the LCM of 269, 271, 338, 262?

Answer: LCM of 269, 271, 338, 262 is 3227821922.

2. How to calculate the LCM of 269, 271, 338, 262?

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 269, 271, 338, 262.

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}.