LCM of 793, 471, 660, 183
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 471, 660, 183 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 793, 471, 660, 183. So, keep reading to learn more.
Given numbers are 793,471,660,183
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,471,660,183 is 82170660.
Find LCM of 793,471,660,183 with Prime Factorization
| 3 | 793, 471, 660, 183 |
| 61 | 793, 157, 220, 61 |
| 13, 157, 220, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 61 x 13 x 157 x 220 x 1 = 82170660
Therefore, the lowest common multiple of 793,471,660,183 is 82170660.
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.
793 x 471 x 660 x 183 = 45111692340
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.
793 : 1, 13, 61, 793
471 : 1, 3, 157, 471
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
183 : 1, 3, 61, 183
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,471,660,183, is 1.
Now, the common factors can be found like this.
793:13x 61
471:3x 157
660:2x 2x 3x 5x 11
183:3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 61 = 549
Therefore, the value for common factors is 549.
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 = 45111692340/(1x549)
LCM = 45111692340/549
LCM = 82170660
Thus, we can understand that the LCM of 793,471,660,183 is 82170660.
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FAQs on LCM of 793, 471, 660, 183
1. What is the LCM of 793, 471, 660, 183?
Answer: LCM of 793, 471, 660, 183 is 82170660.
2. How to calculate the LCM of 793, 471, 660, 183?
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 793, 471, 660, 183.
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}.