Given numbers are 261,129,328,275,711

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

The LCM of 261,129,328,275,711 is 79972853400.

Find LCM of 261,129,328,275,711 with Prime Factorization

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

3 x 3 x 29 x 43 x 328 x 275 x 79 = 79972853400

Therefore, the lowest common multiple of 261,129,328,275,711 is 79972853400.

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 129 x 328 x 275 x 711 = 2159267041800

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

129 : 1, 3, 43, 129

328 : 1, 2, 4, 8, 41, 82, 164, 328

275 : 1, 5, 11, 25, 55, 275

711 : 1, 3, 9, 79, 237, 711

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,129,328,275,711, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

129:3x 43

328:2x 2x 2x 41

275:5x 5x 11

711:3x 3x 79

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 2159267041800/(1x27)

LCM = 2159267041800/27

LCM = 79972853400

Thus, we can understand that the LCM of 261,129,328,275,711 is 79972853400.

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

• LCM of 219, 426, 499, 943, 644
• LCM of 754, 140, 969, 595, 739
• LCM of 672, 239, 124, 288, 558
• LCM of 170, 649, 799, 686, 794
• LCM of 574, 700, 988, 144, 406

1. What is the LCM of 261, 129, 328, 275, 711?

Answer: LCM of 261, 129, 328, 275, 711 is 79972853400.

2. How to calculate the LCM of 261, 129, 328, 275, 711?

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, 129, 328, 275, 711.

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}.