LCM of 309, 412, 551, 966, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 412, 551, 966, 963 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 309, 412, 551, 966, 963. So, keep reading to learn more.
Given numbers are 309,412,551,966,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,412,551,966,963 is 35196621516.
Find LCM of 309,412,551,966,963 with Prime Factorization
| 2 | 309, 412, 551, 966, 963 |
| 3 | 309, 206, 551, 483, 963 |
| 103 | 103, 206, 551, 161, 321 |
| 1, 2, 551, 161, 321 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 1 x 2 x 551 x 161 x 321 = 35196621516
Therefore, the lowest common multiple of 309,412,551,966,963 is 35196621516.
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.
309 x 412 x 551 x 966 x 963 = 65254536290664
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.
309 : 1, 3, 103, 309
412 : 1, 2, 4, 103, 206, 412
551 : 1, 19, 29, 551
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,412,551,966,963, is 1.
Now, the common factors can be found like this.
309:3x 103
412:2x 2x 103
551:19x 29
966:2x 3x 7x 23
963:3x 3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 103 = 1854
Therefore, the value for common factors is 1854.
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 = 65254536290664/(1x1854)
LCM = 65254536290664/1854
LCM = 35196621516
Thus, we can understand that the LCM of 309,412,551,966,963 is 35196621516.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 309, 412, 551, 966, 963
1. What is the LCM of 309, 412, 551, 966, 963?
Answer: LCM of 309, 412, 551, 966, 963 is 35196621516.
2. How to calculate the LCM of 309, 412, 551, 966, 963?
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 309, 412, 551, 966, 963.
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}.