LCM of 963, 969, 108, 796, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 969, 108, 796, 342 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 963, 969, 108, 796, 342. So, keep reading to learn more.
Given numbers are 963,969,108,796,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,969,108,796,342 is 742785012.
Find LCM of 963,969,108,796,342 with Prime Factorization
| 2 | 963, 969, 108, 796, 342 |
| 2 | 963, 969, 54, 398, 171 |
| 3 | 963, 969, 27, 199, 171 |
| 3 | 321, 323, 9, 199, 57 |
| 19 | 107, 323, 3, 199, 19 |
| 107, 17, 3, 199, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 107 x 17 x 3 x 199 x 1 = 742785012
Therefore, the lowest common multiple of 963,969,108,796,342 is 742785012.
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.
963 x 969 x 108 x 796 x 342 = 27435507203232
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.
963 : 1, 3, 9, 107, 321, 963
969 : 1, 3, 17, 19, 51, 57, 323, 969
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
796 : 1, 2, 4, 199, 398, 796
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,969,108,796,342, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
969:3x 17x 19
108:2x 2x 3x 3x 3
796:2x 2x 199
342:2x 3x 3x 19
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 3x 3x 3x 3x 19 = 36936
Therefore, the value for common factors is 36936.
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 = 27435507203232/(1x36936)
LCM = 27435507203232/36936
LCM = 742785012
Thus, we can understand that the LCM of 963,969,108,796,342 is 742785012.
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FAQs on LCM of 963, 969, 108, 796, 342
1. What is the LCM of 963, 969, 108, 796, 342?
Answer: LCM of 963, 969, 108, 796, 342 is 742785012.
2. How to calculate the LCM of 963, 969, 108, 796, 342?
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 963, 969, 108, 796, 342.
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}.