LCM of 992, 176, 527, 414, 663
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 176, 527, 414, 663 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, 176, 527, 414, 663. So, keep reading to learn more.
Given numbers are 992,176,527,414,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,176,527,414,663 is 499191264.
Find LCM of 992,176,527,414,663 with Prime Factorization
| 2 | 992, 176, 527, 414, 663 |
| 2 | 496, 88, 527, 207, 663 |
| 2 | 248, 44, 527, 207, 663 |
| 2 | 124, 22, 527, 207, 663 |
| 3 | 62, 11, 527, 207, 663 |
| 17 | 62, 11, 527, 69, 221 |
| 31 | 62, 11, 31, 69, 13 |
| 2, 11, 1, 69, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 31 x 2 x 11 x 1 x 69 x 13 = 499191264
Therefore, the lowest common multiple of 992,176,527,414,663 is 499191264.
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 176 x 527 x 414 x 663 = 25255084428288
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
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
527 : 1, 17, 31, 527
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,176,527,414,663, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
176:2x 2x 2x 2x 11
527:17x 31
414:2x 3x 3x 23
663:3x 13x 17
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 3x 17x 31 = 50592
Therefore, the value for common factors is 50592.
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 = 25255084428288/(1x50592)
LCM = 25255084428288/50592
LCM = 499191264
Thus, we can understand that the LCM of 992,176,527,414,663 is 499191264.
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FAQs on LCM of 992, 176, 527, 414, 663
1. What is the LCM of 992, 176, 527, 414, 663?
Answer: LCM of 992, 176, 527, 414, 663 is 499191264.
2. How to calculate the LCM of 992, 176, 527, 414, 663?
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, 176, 527, 414, 663.
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}.