Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 662/167, 9243/214 quickly i.e. 6118866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 662/167, 9243/214 is 6118866.
LCM(662/167, 9243/214) = 6118866
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 662/167,9243/214
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 662,9243
Least Common Multiple of Numerators i.e. LCM of 662,9243 is 6118866.
GCF of Denominators means GCF of 167,214 as per the given fractions.
GCF of 167,214 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 662,9243
Given numbers has no common factors except 1. So, there LCM is their product i.e 6118866
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 662,9243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,9243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(662,9243) x common factors =1 x 1 = 1
LCM(662,9243) = ( 662 × 9243 ) / 1
LCM(662,9243) = 6118866 / 1
LCM(662,9243) = 6118866
Lets's calculate GCF of 167,214
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6118866/1
Therefore the LCM of Fractions 662/167,9243/214 is 6118866
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Greatest Common Factor
We found the factors 167,214 . The biggest common factor number is the GCF number.
So the greatest common factor 167,214 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 662/167, 9243/214?
Answer: LCM of Numerators as per given numbers 662/167, 9243/214 is
LCM of Numerators i.e. for 662,9243 is 6118866
GCF of denominators i.e. for 167,214 is 1.
Thus, LCM of Fractions is 6118866.Finally, LCM of Fractions for 662/167, 9243/214 is 6118866.