Given numbers are 426,612,722,394,254

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

The LCM of 426,612,722,394,254 is 392452337268.

Find LCM of 426,612,722,394,254 with Prime Factorization

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

2 x 3 x 71 x 102 x 361 x 197 x 127 = 392452337268

Therefore, the lowest common multiple of 426,612,722,394,254 is 392452337268.

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.

426 x 612 x 722 x 394 x 254 = 18837712188864

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.

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

722 : 1, 2, 19, 38, 361, 722

394 : 1, 2, 197, 394

254 : 1, 2, 127, 254

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,612,722,394,254, is 2.

Now, the common factors can be found like this.

426:2x 3x 71

612:2x 2x 3x 3x 17

722:2x 19x 19

394:2x 197

254:2x 127

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 = 18837712188864/(2x24)

LCM = 18837712188864/48

LCM = 392452337268

Thus, we can understand that the LCM of 426,612,722,394,254 is 392452337268.

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

• LCM of 297, 919, 694, 761, 902
• LCM of 456, 141, 501, 286, 884
• LCM of 469, 983, 642, 425, 576
• LCM of 980, 244, 389, 593, 551
• LCM of 650, 896, 410, 163, 763

1. What is the LCM of 426, 612, 722, 394, 254?

Answer: LCM of 426, 612, 722, 394, 254 is 392452337268.

2. How to calculate the LCM of 426, 612, 722, 394, 254?

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 426, 612, 722, 394, 254.

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}.