Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/852, 479/346, 326/812 quickly i.e. 2108079 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/852, 479/346, 326/812 is 2108079.
LCM(27/852, 479/346, 326/812) = 2108079
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/852,479/346,326/812
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 27,479,326
Least Common Multiple of Numerators i.e. LCM of 27,479,326 is 4216158.
GCF of Denominators means GCF of 852,346,812 as per the given fractions.
GCF of 852,346,812 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,479,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 4216158
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 27,479,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,479,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,479,326) x common factors =1 x 1 = 1
LCM(27,479,326) = ( 27 × 479 × 326 ) / 1
LCM(27,479,326) = 4216158 / 1
LCM(27,479,326) = 4216158
Lets's calculate GCF of 852,346,812
2 | 852, 346, 812 |
426, 173, 406 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4216158/2
Therefore the LCM of Fractions 27/852,479/346,326/812 is 2108079
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Greatest Common Factor
We found the factors 852,346,812 . The biggest common factor number is the GCF number.
So the greatest common factor 852,346,812 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 27/852, 479/346, 326/812?
Answer: LCM of Numerators as per given numbers 27/852, 479/346, 326/812 is
LCM of Numerators i.e. for 27,479,326 is 4216158
GCF of denominators i.e. for 852,346,812 is 2.
Thus, LCM of Fractions is 2108079.Finally, LCM of Fractions for 27/852, 479/346, 326/812 is 2108079.