LCM of 396, 637, 965, 386, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 637, 965, 386, 845 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 396, 637, 965, 386, 845. So, keep reading to learn more.
Given numbers are 396,637,965,386,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,637,965,386,845 is 3164501340.
Find LCM of 396,637,965,386,845 with Prime Factorization
| 2 | 396, 637, 965, 386, 845 |
| 5 | 198, 637, 965, 193, 845 |
| 13 | 198, 637, 193, 193, 169 |
| 193 | 198, 49, 193, 193, 13 |
| 198, 49, 1, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 193 x 198 x 49 x 1 x 1 x 13 = 3164501340
Therefore, the lowest common multiple of 396,637,965,386,845 is 3164501340.
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.
396 x 637 x 965 x 386 x 845 = 79397338620600
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
637 : 1, 7, 13, 49, 91, 637
965 : 1, 5, 193, 965
386 : 1, 2, 193, 386
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,637,965,386,845, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
637:7x 7x 13
965:5x 193
386:2x 193
845:5x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 193 = 25090
Therefore, the value for common factors is 25090.
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 = 79397338620600/(1x25090)
LCM = 79397338620600/25090
LCM = 3164501340
Thus, we can understand that the LCM of 396,637,965,386,845 is 3164501340.
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FAQs on LCM of 396, 637, 965, 386, 845
1. What is the LCM of 396, 637, 965, 386, 845?
Answer: LCM of 396, 637, 965, 386, 845 is 3164501340.
2. How to calculate the LCM of 396, 637, 965, 386, 845?
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 396, 637, 965, 386, 845.
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}.