Given numbers are 489,924,114,442,755

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

The LCM of 489,924,114,442,755 is 477476939940.

Find LCM of 489,924,114,442,755 with Prime Factorization

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

2 x 3 x 163 x 154 x 19 x 221 x 755 = 477476939940

Therefore, the lowest common multiple of 489,924,114,442,755 is 477476939940.

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.

489 x 924 x 114 x 442 x 755 = 17189169837840

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.

489 : 1, 3, 163, 489

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

114 : 1, 2, 3, 6, 19, 38, 57, 114

442 : 1, 2, 13, 17, 26, 34, 221, 442

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,924,114,442,755, is 1.

Now, the common factors can be found like this.

489:3x 163

924:2x 2x 3x 7x 11

114:2x 3x 19

442:2x 13x 17

755:5x 151

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 17189169837840/(1x36)

LCM = 17189169837840/36

LCM = 477476939940

Thus, we can understand that the LCM of 489,924,114,442,755 is 477476939940.

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

• LCM of 208, 623, 150, 788, 138
• LCM of 113, 424, 126, 154, 375
• LCM of 377, 996, 448, 922, 906
• LCM of 866, 454, 863, 710, 757
• LCM of 640, 396, 666, 836, 439

1. What is the LCM of 489, 924, 114, 442, 755?

Answer: LCM of 489, 924, 114, 442, 755 is 477476939940.

2. How to calculate the LCM of 489, 924, 114, 442, 755?

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 489, 924, 114, 442, 755.

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}.