Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/76, 902/34, 219/166 quickly i.e. 3061839 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/76, 902/34, 219/166 is 3061839.
LCM(31/76, 902/34, 219/166) = 3061839
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/76,902/34,219/166
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 31,902,219
Least Common Multiple of Numerators i.e. LCM of 31,902,219 is 6123678.
GCF of Denominators means GCF of 76,34,166 as per the given fractions.
GCF of 76,34,166 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,902,219
Given numbers has no common factors except 1. So, there LCM is their product i.e 6123678
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 31,902,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,902,219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,902,219) x common factors =1 x 1 = 1
LCM(31,902,219) = ( 31 × 902 × 219 ) / 1
LCM(31,902,219) = 6123678 / 1
LCM(31,902,219) = 6123678
Lets's calculate GCF of 76,34,166
2 | 76, 34, 166 |
38, 17, 83 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6123678/2
Therefore the LCM of Fractions 31/76,902/34,219/166 is 3061839
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Greatest Common Factor
We found the factors 76,34,166 . The biggest common factor number is the GCF number.
So the greatest common factor 76,34,166 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 31/76, 902/34, 219/166?
Answer: LCM of Numerators as per given numbers 31/76, 902/34, 219/166 is
LCM of Numerators i.e. for 31,902,219 is 6123678
GCF of denominators i.e. for 76,34,166 is 2.
Thus, LCM of Fractions is 3061839.Finally, LCM of Fractions for 31/76, 902/34, 219/166 is 3061839.