Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3755/737, 9703/242 quickly i.e. 36434765/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3755/737, 9703/242 is 36434765/11.
LCM(3755/737, 9703/242) = 36434765/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3755/737,9703/242
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 3755,9703
Least Common Multiple of Numerators i.e. LCM of 3755,9703 is 36434765.
GCF of Denominators means GCF of 737,242 as per the given fractions.
GCF of 737,242 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3755,9703
Given numbers has no common factors except 1. So, there LCM is their product i.e 36434765
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 3755,9703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3755,9703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3755,9703) x common factors =1 x 1 = 1
LCM(3755,9703) = ( 3755 × 9703 ) / 1
LCM(3755,9703) = 36434765 / 1
LCM(3755,9703) = 36434765
Lets's calculate GCF of 737,242
11 | 737, 242 |
67, 22 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36434765/11
Therefore the LCM of Fractions 3755/737,9703/242 is 36434765/11
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Greatest Common Factor
We found the factors 737,242 . The biggest common factor number is the GCF number.
So the greatest common factor 737,242 is 11.
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 3755/737, 9703/242?
Answer: LCM of Numerators as per given numbers 3755/737, 9703/242 is
LCM of Numerators i.e. for 3755,9703 is 36434765
GCF of denominators i.e. for 737,242 is 11.
Thus, LCM of Fractions is 36434765/11.Finally, LCM of Fractions for 3755/737, 9703/242 is 36434765/11.