Given numbers are 264,269,646

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

The LCM of 264,269,646 is 22938168.

Find LCM of 264,269,646 with Prime Factorization

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

2 x 132 x 269 x 323 = 22938168

Therefore, the lowest common multiple of 264,269,646 is 22938168.

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.

264 x 269 x 646 = 45876336

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

269 : 1, 269

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,269,646, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

269:269

646:2x 17x 19

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 = 45876336/(1x2)

LCM = 45876336/2

LCM = 22938168

Thus, we can understand that the LCM of 264,269,646 is 22938168.

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

• LCM of 445, 695, 804
• LCM of 366, 806, 603
• LCM of 930, 786, 314
• LCM of 883, 550, 439
• LCM of 438, 885, 461

1. What is the LCM of 264, 269, 646?

Answer: LCM of 264, 269, 646 is 22938168.

2. How to calculate the LCM of 264, 269, 646?

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 264, 269, 646.

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}.