Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/265, 3737/4651 quickly i.e. 7474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/265, 3737/4651 is 7474.
LCM(74/265, 3737/4651) = 7474
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/265,3737/4651
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 74,3737
Least Common Multiple of Numerators i.e. LCM of 74,3737 is 7474.
GCF of Denominators means GCF of 265,4651 as per the given fractions.
GCF of 265,4651 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,3737
37 | 74, 3737 |
2, 101 |
∴ So the LCM of the given numbers is 37 x 2 x 101 = 7474
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 74,3737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,3737) = 37
common factors(in case of two or more numbers have common factors) = 1
GCF(74,3737) x common factors =37 x 1 = 37
LCM(74,3737) = ( 74 × 3737 ) / 37
LCM(74,3737) = 276538 / 37
LCM(74,3737) = 7474
Lets's calculate GCF of 265,4651
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7474/1
Therefore the LCM of Fractions 74/265,3737/4651 is 7474
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 4651
List of positive integer factors of 4651 that divides 4651 without a remainder.
1,4651
Greatest Common Factor
We found the factors 265,4651 . The biggest common factor number is the GCF number.
So the greatest common factor 265,4651 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 74/265, 3737/4651?
Answer: LCM of Numerators as per given numbers 74/265, 3737/4651 is
LCM of Numerators i.e. for 74,3737 is 7474
GCF of denominators i.e. for 265,4651 is 1.
Thus, LCM of Fractions is 7474.Finally, LCM of Fractions for 74/265, 3737/4651 is 7474.