LCM of 612, 963, 991, 606, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 963, 991, 606, 812 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 612, 963, 991, 606, 812. So, keep reading to learn more.
Given numbers are 612,963,991,606,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,963,991,606,812 is 1330534885932.
Find LCM of 612,963,991,606,812 with Prime Factorization
| 2 | 612, 963, 991, 606, 812 |
| 2 | 306, 963, 991, 303, 406 |
| 3 | 153, 963, 991, 303, 203 |
| 3 | 51, 321, 991, 101, 203 |
| 17, 107, 991, 101, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 107 x 991 x 101 x 203 = 1330534885932
Therefore, the lowest common multiple of 612,963,991,606,812 is 1330534885932.
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.
612 x 963 x 991 x 606 x 812 = 287395535361312
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
963 : 1, 3, 9, 107, 321, 963
991 : 1, 991
606 : 1, 2, 3, 6, 101, 202, 303, 606
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,963,991,606,812, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
963:3x 3x 107
991:991
606:2x 3x 101
812:2x 2x 7x 29
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 3 = 216
Therefore, the value for common factors is 216.
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 = 287395535361312/(1x216)
LCM = 287395535361312/216
LCM = 1330534885932
Thus, we can understand that the LCM of 612,963,991,606,812 is 1330534885932.
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FAQs on LCM of 612, 963, 991, 606, 812
1. What is the LCM of 612, 963, 991, 606, 812?
Answer: LCM of 612, 963, 991, 606, 812 is 1330534885932.
2. How to calculate the LCM of 612, 963, 991, 606, 812?
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 612, 963, 991, 606, 812.
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}.