Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/34, 733/29, 427/156 quickly i.e. 23161334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/34, 733/29, 427/156 is 23161334.
LCM(74/34, 733/29, 427/156) = 23161334
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/34,733/29,427/156
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 74,733,427
Least Common Multiple of Numerators i.e. LCM of 74,733,427 is 23161334.
GCF of Denominators means GCF of 34,29,156 as per the given fractions.
GCF of 34,29,156 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,733,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 23161334
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 74,733,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,733,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,733,427) x common factors =1 x 1 = 1
LCM(74,733,427) = ( 74 × 733 × 427 ) / 1
LCM(74,733,427) = 23161334 / 1
LCM(74,733,427) = 23161334
Lets's calculate GCF of 34,29,156
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23161334/1
Therefore the LCM of Fractions 74/34,733/29,427/156 is 23161334
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 34,29,156 . The biggest common factor number is the GCF number.
So the greatest common factor 34,29,156 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 74/34, 733/29, 427/156?
Answer: LCM of Numerators as per given numbers 74/34, 733/29, 427/156 is
LCM of Numerators i.e. for 74,733,427 is 23161334
GCF of denominators i.e. for 34,29,156 is 1.
Thus, LCM of Fractions is 23161334.Finally, LCM of Fractions for 74/34, 733/29, 427/156 is 23161334.