Given numbers are 277,426,212,471,460

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

The LCM of 277,426,212,471,460 is 225835767660.

Find LCM of 277,426,212,471,460 with Prime Factorization

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

2 x 2 x 3 x 277 x 71 x 53 x 157 x 115 = 225835767660

Therefore, the lowest common multiple of 277,426,212,471,460 is 225835767660.

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.

277 x 426 x 212 x 471 x 460 = 5420058423840

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.

277 : 1, 277

426 : 1, 2, 3, 6, 71, 142, 213, 426

212 : 1, 2, 4, 53, 106, 212

471 : 1, 3, 157, 471

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 277,426,212,471,460, is 1.

Now, the common factors can be found like this.

277:277

426:2x 3x 71

212:2x 2x 53

471:3x 157

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 3 = 24

Therefore, the value for common factors is 24.

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 = 5420058423840/(1x24)

LCM = 5420058423840/24

LCM = 225835767660

Thus, we can understand that the LCM of 277,426,212,471,460 is 225835767660.

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

• LCM of 111, 730, 642, 370, 116
• LCM of 709, 253, 265, 402, 945
• LCM of 470, 298, 138, 342, 241
• LCM of 418, 808, 143, 518, 549
• LCM of 479, 214, 212, 857, 431

1. What is the LCM of 277, 426, 212, 471, 460?

Answer: LCM of 277, 426, 212, 471, 460 is 225835767660.

2. How to calculate the LCM of 277, 426, 212, 471, 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 277, 426, 212, 471, 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}.