Given numbers are 261,409,347,269,285

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

The LCM of 261,409,347,269,285 is 946605831165.

Find LCM of 261,409,347,269,285 with Prime Factorization

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

3 x 87 x 409 x 347 x 269 x 95 = 946605831165

Therefore, the lowest common multiple of 261,409,347,269,285 is 946605831165.

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 409 x 347 x 269 x 285 = 2839817493495

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

409 : 1, 409

347 : 1, 347

269 : 1, 269

285 : 1, 3, 5, 15, 19, 57, 95, 285

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,409,347,269,285, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

409:409

347:347

269:269

285:3x 5x 19

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

3 = 3

Therefore, the value for common factors is 3.

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 = 2839817493495/(1x3)

LCM = 2839817493495/3

LCM = 946605831165

Thus, we can understand that the LCM of 261,409,347,269,285 is 946605831165.

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

• LCM of 356, 762, 718, 880, 216
• LCM of 654, 744, 579, 373, 969
• LCM of 100, 413, 280, 819, 797
• LCM of 740, 744, 188, 321, 277
• LCM of 459, 289, 915, 411, 560

1. What is the LCM of 261, 409, 347, 269, 285?

Answer: LCM of 261, 409, 347, 269, 285 is 946605831165.

2. How to calculate the LCM of 261, 409, 347, 269, 285?

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, 409, 347, 269, 285.

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}.