Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 343/372, 793/665, 657/527 quickly i.e. 178703343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 343/372, 793/665, 657/527 is 178703343.
LCM(343/372, 793/665, 657/527) = 178703343
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 343/372,793/665,657/527
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 343,793,657
Least Common Multiple of Numerators i.e. LCM of 343,793,657 is 178703343.
GCF of Denominators means GCF of 372,665,527 as per the given fractions.
GCF of 372,665,527 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 343,793,657
Given numbers has no common factors except 1. So, there LCM is their product i.e 178703343
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 343,793,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,793,657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,793,657) x common factors =1 x 1 = 1
LCM(343,793,657) = ( 343 × 793 × 657 ) / 1
LCM(343,793,657) = 178703343 / 1
LCM(343,793,657) = 178703343
Lets's calculate GCF of 372,665,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178703343/1
Therefore the LCM of Fractions 343/372,793/665,657/527 is 178703343
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Greatest Common Factor
We found the factors 372,665,527 . The biggest common factor number is the GCF number.
So the greatest common factor 372,665,527 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 343/372, 793/665, 657/527?
Answer: LCM of Numerators as per given numbers 343/372, 793/665, 657/527 is
LCM of Numerators i.e. for 343,793,657 is 178703343
GCF of denominators i.e. for 372,665,527 is 1.
Thus, LCM of Fractions is 178703343.Finally, LCM of Fractions for 343/372, 793/665, 657/527 is 178703343.