LCM of 508, 880, 510, 990, 135
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 880, 510, 990, 135 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 508, 880, 510, 990, 135. So, keep reading to learn more.
Given numbers are 508,880,510,990,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,880,510,990,135 is 51297840.
Find LCM of 508,880,510,990,135 with Prime Factorization
| 2 | 508, 880, 510, 990, 135 |
| 2 | 254, 440, 255, 495, 135 |
| 3 | 127, 220, 255, 495, 135 |
| 3 | 127, 220, 85, 165, 45 |
| 5 | 127, 220, 85, 55, 15 |
| 11 | 127, 44, 17, 11, 3 |
| 127, 4, 17, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 11 x 127 x 4 x 17 x 1 x 3 = 51297840
Therefore, the lowest common multiple of 508,880,510,990,135 is 51297840.
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.
508 x 880 x 510 x 990 x 135 = 30470916960000
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.
508 : 1, 2, 4, 127, 254, 508
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,880,510,990,135, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
880:2x 2x 2x 2x 5x 11
510:2x 3x 5x 17
990:2x 3x 3x 5x 11
135:3x 3x 3x 5
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 3x 3x 5x 5x 5x 11 = 594000
Therefore, the value for common factors is 594000.
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 = 30470916960000/(1x594000)
LCM = 30470916960000/594000
LCM = 51297840
Thus, we can understand that the LCM of 508,880,510,990,135 is 51297840.
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FAQs on LCM of 508, 880, 510, 990, 135
1. What is the LCM of 508, 880, 510, 990, 135?
Answer: LCM of 508, 880, 510, 990, 135 is 51297840.
2. How to calculate the LCM of 508, 880, 510, 990, 135?
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 508, 880, 510, 990, 135.
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}.