LCM of 960, 336, 419, 816, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 336, 419, 816, 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 960, 336, 419, 816, 954. So, keep reading to learn more.
Given numbers are 960,336,419,816,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,336,419,816,954 is 7610783040.
Find LCM of 960,336,419,816,954 with Prime Factorization
| 2 | 960, 336, 419, 816, 954 |
| 2 | 480, 168, 419, 408, 477 |
| 2 | 240, 84, 419, 204, 477 |
| 2 | 120, 42, 419, 102, 477 |
| 3 | 60, 21, 419, 51, 477 |
| 20, 7, 419, 17, 159 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 20 x 7 x 419 x 17 x 159 = 7610783040
Therefore, the lowest common multiple of 960,336,419,816,954 is 7610783040.
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.
960 x 336 x 419 x 816 x 954 = 105211464744960
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.
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
419 : 1, 419
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
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 960,336,419,816,954, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
336:2x 2x 2x 2x 3x 7
419:419
816:2x 2x 2x 2x 3x 17
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 2x 2x 2x 2x 2x 2x 3x 3x 3 = 13824
Therefore, the value for common factors is 13824.
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 = 105211464744960/(1x13824)
LCM = 105211464744960/13824
LCM = 7610783040
Thus, we can understand that the LCM of 960,336,419,816,954 is 7610783040.
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FAQs on LCM of 960, 336, 419, 816, 954
1. What is the LCM of 960, 336, 419, 816, 954?
Answer: LCM of 960, 336, 419, 816, 954 is 7610783040.
2. How to calculate the LCM of 960, 336, 419, 816, 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 960, 336, 419, 816, 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}.