LCM of 793, 195, 260, 988, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 195, 260, 988, 954 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, 195, 260, 988, 954. So, keep reading to learn more.
Given numbers are 793,195,260,988,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,195,260,988,954 is 143739180.
Find LCM of 793,195,260,988,954 with Prime Factorization
| 2 | 793, 195, 260, 988, 954 |
| 2 | 793, 195, 130, 494, 477 |
| 3 | 793, 195, 65, 247, 477 |
| 5 | 793, 65, 65, 247, 159 |
| 13 | 793, 13, 13, 247, 159 |
| 61, 1, 1, 19, 159 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 61 x 1 x 1 x 19 x 159 = 143739180
Therefore, the lowest common multiple of 793,195,260,988,954 is 143739180.
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 195 x 260 x 988 x 954 = 37895397415200
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
195 : 1, 3, 5, 13, 15, 39, 65, 195
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,195,260,988,954, is 1.
Now, the common factors can be found like this.
793:13x 61
195:3x 5x 13
260:2x 2x 5x 13
988:2x 2x 13x 19
954:2x 3x 3x 53
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 5x 13x 13x 13 = 263640
Therefore, the value for common factors is 263640.
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 = 37895397415200/(1x263640)
LCM = 37895397415200/263640
LCM = 143739180
Thus, we can understand that the LCM of 793,195,260,988,954 is 143739180.
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FAQs on LCM of 793, 195, 260, 988, 954
1. What is the LCM of 793, 195, 260, 988, 954?
Answer: LCM of 793, 195, 260, 988, 954 is 143739180.
2. How to calculate the LCM of 793, 195, 260, 988, 954?
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, 195, 260, 988, 954.
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}.