LCM of 255, 282, 540, 494, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 255, 282, 540, 494, 962 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 255, 282, 540, 494, 962. So, keep reading to learn more.
Given numbers are 255,282,540,494,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 255,282,540,494,962 is 3943112940.
Find LCM of 255,282,540,494,962 with Prime Factorization
| 2 | 255, 282, 540, 494, 962 |
| 3 | 255, 141, 270, 247, 481 |
| 5 | 85, 47, 90, 247, 481 |
| 13 | 17, 47, 18, 247, 481 |
| 17, 47, 18, 19, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 17 x 47 x 18 x 19 x 37 = 3943112940
Therefore, the lowest common multiple of 255,282,540,494,962 is 3943112940.
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.
255 x 282 x 540 x 494 x 962 = 18453768559200
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.
255 : 1, 3, 5, 15, 17, 51, 85, 255
282 : 1, 2, 3, 6, 47, 94, 141, 282
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
494 : 1, 2, 13, 19, 26, 38, 247, 494
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,282,540,494,962, is 1.
Now, the common factors can be found like this.
255:3x 5x 17
282:2x 3x 47
540:2x 2x 3x 3x 3x 5
494:2x 13x 19
962:2x 13x 37
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 3x 3x 5x 13 = 4680
Therefore, the value for common factors is 4680.
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 = 18453768559200/(1x4680)
LCM = 18453768559200/4680
LCM = 3943112940
Thus, we can understand that the LCM of 255,282,540,494,962 is 3943112940.
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FAQs on LCM of 255, 282, 540, 494, 962
1. What is the LCM of 255, 282, 540, 494, 962?
Answer: LCM of 255, 282, 540, 494, 962 is 3943112940.
2. How to calculate the LCM of 255, 282, 540, 494, 962?
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 255, 282, 540, 494, 962.
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}.