Given numbers are 269,688,409,124,460

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

The LCM of 269,688,409,124,460 is 269850707120.

Find LCM of 269,688,409,124,460 with Prime Factorization

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

2 x 2 x 269 x 172 x 409 x 31 x 115 = 269850707120

Therefore, the lowest common multiple of 269,688,409,124,460 is 269850707120.

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 688 x 409 x 124 x 460 = 4317611313920

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

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

409 : 1, 409

124 : 1, 2, 4, 31, 62, 124

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,688,409,124,460, is 1.

Now, the common factors can be found like this.

269:269

688:2x 2x 2x 2x 43

409:409

124:2x 2x 31

460:2x 2x 5x 23

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 4317611313920/(1x16)

LCM = 4317611313920/16

LCM = 269850707120

Thus, we can understand that the LCM of 269,688,409,124,460 is 269850707120.

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

• LCM of 326, 545, 116, 777, 537
• LCM of 353, 894, 596, 386, 207
• LCM of 335, 324, 330, 915, 797
• LCM of 204, 703, 904, 309, 189
• LCM of 675, 901, 878, 551, 502

1. What is the LCM of 269, 688, 409, 124, 460?

Answer: LCM of 269, 688, 409, 124, 460 is 269850707120.

2. How to calculate the LCM of 269, 688, 409, 124, 460?

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, 688, 409, 124, 460.

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}.