Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/431, 16/876, 364/277 quickly i.e. 4368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/431, 16/876, 364/277 is 4368.
LCM(12/431, 16/876, 364/277) = 4368
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/431,16/876,364/277
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 12,16,364
Least Common Multiple of Numerators i.e. LCM of 12,16,364 is 4368.
GCF of Denominators means GCF of 431,876,277 as per the given fractions.
GCF of 431,876,277 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,16,364
2 | 12, 16, 364 |
2 | 6, 8, 182 |
3, 4, 91 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 91 = 4368
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 12,16,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,16,364) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(12,16,364) x common factors =4 x 4 = 16
LCM(12,16,364) = ( 12 × 16 × 364 ) / 16
LCM(12,16,364) = 69888 / 16
LCM(12,16,364) = 4368
Lets's calculate GCF of 431,876,277
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4368/1
Therefore the LCM of Fractions 12/431,16/876,364/277 is 4368
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Greatest Common Factor
We found the factors 431,876,277 . The biggest common factor number is the GCF number.
So the greatest common factor 431,876,277 is 1.
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 12/431, 16/876, 364/277?
Answer: LCM of Numerators as per given numbers 12/431, 16/876, 364/277 is
LCM of Numerators i.e. for 12,16,364 is 4368
GCF of denominators i.e. for 431,876,277 is 1.
Thus, LCM of Fractions is 4368.Finally, LCM of Fractions for 12/431, 16/876, 364/277 is 4368.