LCM of 954, 976, 380, 630, 263
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 976, 380, 630, 263 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 954, 976, 380, 630, 263. So, keep reading to learn more.
Given numbers are 954,976,380,630,263
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,976,380,630,263 is 81422717040.
Find LCM of 954,976,380,630,263 with Prime Factorization
| 2 | 954, 976, 380, 630, 263 |
| 2 | 477, 488, 190, 315, 263 |
| 3 | 477, 244, 95, 315, 263 |
| 3 | 159, 244, 95, 105, 263 |
| 5 | 53, 244, 95, 35, 263 |
| 53, 244, 19, 7, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 53 x 244 x 19 x 7 x 263 = 81422717040
Therefore, the lowest common multiple of 954,976,380,630,263 is 81422717040.
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.
954 x 976 x 380 x 630 x 263 = 58624356268800
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
263 : 1, 263
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,976,380,630,263, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
976:2x 2x 2x 2x 61
380:2x 2x 5x 19
630:2x 3x 3x 5x 7
263:263
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 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 58624356268800/(1x720)
LCM = 58624356268800/720
LCM = 81422717040
Thus, we can understand that the LCM of 954,976,380,630,263 is 81422717040.
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FAQs on LCM of 954, 976, 380, 630, 263
1. What is the LCM of 954, 976, 380, 630, 263?
Answer: LCM of 954, 976, 380, 630, 263 is 81422717040.
2. How to calculate the LCM of 954, 976, 380, 630, 263?
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 954, 976, 380, 630, 263.
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}.