LCM of 992, 308, 755, 704, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 308, 755, 704, 684 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 992, 308, 755, 704, 684. So, keep reading to learn more.
Given numbers are 992,308,755,704,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,308,755,704,684 is 19723112640.
Find LCM of 992,308,755,704,684 with Prime Factorization
| 2 | 992, 308, 755, 704, 684 |
| 2 | 496, 154, 755, 352, 342 |
| 2 | 248, 77, 755, 176, 171 |
| 2 | 124, 77, 755, 88, 171 |
| 2 | 62, 77, 755, 44, 171 |
| 11 | 31, 77, 755, 22, 171 |
| 31, 7, 755, 2, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 11 x 31 x 7 x 755 x 2 x 171 = 19723112640
Therefore, the lowest common multiple of 992,308,755,704,684 is 19723112640.
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.
992 x 308 x 755 x 704 x 684 = 111080570388480
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
755 : 1, 5, 151, 755
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,308,755,704,684, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
308:2x 2x 7x 11
755:5x 151
704:2x 2x 2x 2x 2x 2x 11
684:2x 2x 3x 3x 19
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 2x 2x 2x 2x 2x 11 = 5632
Therefore, the value for common factors is 5632.
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 = 111080570388480/(1x5632)
LCM = 111080570388480/5632
LCM = 19723112640
Thus, we can understand that the LCM of 992,308,755,704,684 is 19723112640.
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FAQs on LCM of 992, 308, 755, 704, 684
1. What is the LCM of 992, 308, 755, 704, 684?
Answer: LCM of 992, 308, 755, 704, 684 is 19723112640.
2. How to calculate the LCM of 992, 308, 755, 704, 684?
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 992, 308, 755, 704, 684.
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}.