LCM of 988, 493, 495, 902, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 493, 495, 902, 768 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 988, 493, 495, 902, 768. So, keep reading to learn more.
Given numbers are 988,493,495,902,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,493,495,902,768 is 632663665920.
Find LCM of 988,493,495,902,768 with Prime Factorization
| 2 | 988, 493, 495, 902, 768 |
| 2 | 494, 493, 495, 451, 384 |
| 3 | 247, 493, 495, 451, 192 |
| 11 | 247, 493, 165, 451, 64 |
| 247, 493, 15, 41, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 247 x 493 x 15 x 41 x 64 = 632663665920
Therefore, the lowest common multiple of 988,493,495,902,768 is 632663665920.
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.
988 x 493 x 495 x 902 x 768 = 167023207802880
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
493 : 1, 17, 29, 493
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
902 : 1, 2, 11, 22, 41, 82, 451, 902
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,493,495,902,768, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
493:17x 29
495:3x 3x 5x 11
902:2x 11x 41
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 11 = 264
Therefore, the value for common factors is 264.
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 = 167023207802880/(1x264)
LCM = 167023207802880/264
LCM = 632663665920
Thus, we can understand that the LCM of 988,493,495,902,768 is 632663665920.
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FAQs on LCM of 988, 493, 495, 902, 768
1. What is the LCM of 988, 493, 495, 902, 768?
Answer: LCM of 988, 493, 495, 902, 768 is 632663665920.
2. How to calculate the LCM of 988, 493, 495, 902, 768?
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 988, 493, 495, 902, 768.
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}.