Given numbers are 261,765,264,630,538

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

The LCM of 261,765,264,630,538 is 3676143240.

Find LCM of 261,765,264,630,538 with Prime Factorization

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

2 x 3 x 3 x 5 x 29 x 17 x 44 x 7 x 269 = 3676143240

Therefore, the lowest common multiple of 261,765,264,630,538 is 3676143240.

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.

261 x 765 x 264 x 630 x 538 = 17866056146400

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.

261 : 1, 3, 9, 29, 87, 261

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

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

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,765,264,630,538, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

765:3x 3x 5x 17

264:2x 2x 2x 3x 11

630:2x 3x 3x 5x 7

538:2x 269

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

2x 2x 3x 3x 3x 3x 3x 5 = 4860

Therefore, the value for common factors is 4860.

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 = 17866056146400/(1x4860)

LCM = 17866056146400/4860

LCM = 3676143240

Thus, we can understand that the LCM of 261,765,264,630,538 is 3676143240.

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

• LCM of 969, 490, 216, 662, 988
• LCM of 126, 135, 726, 257, 129
• LCM of 682, 454, 570, 455, 396
• LCM of 677, 755, 551, 546, 139
• LCM of 209, 750, 109, 768, 212

1. What is the LCM of 261, 765, 264, 630, 538?

Answer: LCM of 261, 765, 264, 630, 538 is 3676143240.

2. How to calculate the LCM of 261, 765, 264, 630, 538?

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 261, 765, 264, 630, 538.

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}.