Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/274, 6479/7418 quickly i.e. 187891/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/274, 6479/7418 is 187891/2.
LCM(29/274, 6479/7418) = 187891/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/274,6479/7418
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 29,6479
Least Common Multiple of Numerators i.e. LCM of 29,6479 is 187891.
GCF of Denominators means GCF of 274,7418 as per the given fractions.
GCF of 274,7418 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,6479
Given numbers has no common factors except 1. So, there LCM is their product i.e 187891
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 29,6479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,6479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,6479) x common factors =1 x 1 = 1
LCM(29,6479) = ( 29 × 6479 ) / 1
LCM(29,6479) = 187891 / 1
LCM(29,6479) = 187891
Lets's calculate GCF of 274,7418
2 | 274, 7418 |
137, 3709 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187891/2
Therefore the LCM of Fractions 29/274,6479/7418 is 187891/2
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Factors of 7418
List of positive integer factors of 7418 that divides 7418 without a remainder.
1,2,3709,7418
Greatest Common Factor
We found the factors 274,7418 . The biggest common factor number is the GCF number.
So the greatest common factor 274,7418 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 29/274, 6479/7418?
Answer: LCM of Numerators as per given numbers 29/274, 6479/7418 is
LCM of Numerators i.e. for 29,6479 is 187891
GCF of denominators i.e. for 274,7418 is 2.
Thus, LCM of Fractions is 187891/2.Finally, LCM of Fractions for 29/274, 6479/7418 is 187891/2.