Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 733/917, 221/959 quickly i.e. 161993/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 733/917, 221/959 is 161993/7.
LCM(733/917, 221/959) = 161993/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 733/917,221/959
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 733,221
Least Common Multiple of Numerators i.e. LCM of 733,221 is 161993.
GCF of Denominators means GCF of 917,959 as per the given fractions.
GCF of 917,959 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 733,221
Given numbers has no common factors except 1. So, there LCM is their product i.e 161993
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 733,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,221) x common factors =1 x 1 = 1
LCM(733,221) = ( 733 × 221 ) / 1
LCM(733,221) = 161993 / 1
LCM(733,221) = 161993
Lets's calculate GCF of 917,959
7 | 917, 959 |
131, 137 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161993/7
Therefore the LCM of Fractions 733/917,221/959 is 161993/7
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Greatest Common Factor
We found the factors 917,959 . The biggest common factor number is the GCF number.
So the greatest common factor 917,959 is 7.
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 733/917, 221/959?
Answer: LCM of Numerators as per given numbers 733/917, 221/959 is
LCM of Numerators i.e. for 733,221 is 161993
GCF of denominators i.e. for 917,959 is 7.
Thus, LCM of Fractions is 161993/7.Finally, LCM of Fractions for 733/917, 221/959 is 161993/7.