Given numbers are 424,339,282,270,884

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

The LCM of 424,339,282,270,884 is 67184362440.

Find LCM of 424,339,282,270,884 with Prime Factorization

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

2 x 2 x 3 x 106 x 113 x 47 x 45 x 221 = 67184362440

Therefore, the lowest common multiple of 424,339,282,270,884 is 67184362440.

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.

424 x 339 x 282 x 270 x 884 = 9674548191360

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

339 : 1, 3, 113, 339

282 : 1, 2, 3, 6, 47, 94, 141, 282

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,339,282,270,884, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

339:3x 113

282:2x 3x 47

270:2x 3x 3x 3x 5

884:2x 2x 13x 17

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 9674548191360/(1x144)

LCM = 9674548191360/144

LCM = 67184362440

Thus, we can understand that the LCM of 424,339,282,270,884 is 67184362440.

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

• LCM of 563, 847, 824, 316, 142
• LCM of 246, 639, 576, 851, 387
• LCM of 593, 535, 153, 435, 790
• LCM of 477, 492, 854, 419, 493
• LCM of 594, 758, 512, 728, 172

1. What is the LCM of 424, 339, 282, 270, 884?

Answer: LCM of 424, 339, 282, 270, 884 is 67184362440.

2. How to calculate the LCM of 424, 339, 282, 270, 884?

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 424, 339, 282, 270, 884.

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}.