LCM of 836, 748, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 748, 231 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 836, 748, 231. So, keep reading to learn more.
Given numbers are 836,748,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,748,231 is 298452.
Find LCM of 836,748,231 with Prime Factorization
| 2 | 836, 748, 231 |
| 2 | 418, 374, 231 |
| 11 | 209, 187, 231 |
| 19, 17, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 17 x 21 = 298452
Therefore, the lowest common multiple of 836,748,231 is 298452.
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.
836 x 748 x 231 = 144450768
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
231 : 1, 3, 7, 11, 21, 33, 77, 231
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,748,231, is 11.
Now, the common factors can be found like this.
836:2x 2x 11x 19
748:2x 2x 11x 17
231:3x 7x 11
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 11 = 44
Therefore, the value for common factors is 44.
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 = 144450768/(11x44)
LCM = 144450768/484
LCM = 298452
Thus, we can understand that the LCM of 836,748,231 is 298452.
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FAQs on LCM of 836, 748, 231
1. What is the LCM of 836, 748, 231?
Answer: LCM of 836, 748, 231 is 298452.
2. How to calculate the LCM of 836, 748, 231?
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 836, 748, 231.
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}.