Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9314/178, 2207/5481 quickly i.e. 20555998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9314/178, 2207/5481 is 20555998.
LCM(9314/178, 2207/5481) = 20555998
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9314/178,2207/5481
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 9314,2207
Least Common Multiple of Numerators i.e. LCM of 9314,2207 is 20555998.
GCF of Denominators means GCF of 178,5481 as per the given fractions.
GCF of 178,5481 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9314,2207
Given numbers has no common factors except 1. So, there LCM is their product i.e 20555998
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 9314,2207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9314,2207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9314,2207) x common factors =1 x 1 = 1
LCM(9314,2207) = ( 9314 × 2207 ) / 1
LCM(9314,2207) = 20555998 / 1
LCM(9314,2207) = 20555998
Lets's calculate GCF of 178,5481
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20555998/1
Therefore the LCM of Fractions 9314/178,2207/5481 is 20555998
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 5481
List of positive integer factors of 5481 that divides 5481 without a remainder.
1,3,7,9,21,27,29,63,87,189,203,261,609,783,1827,5481
Greatest Common Factor
We found the factors 178,5481 . The biggest common factor number is the GCF number.
So the greatest common factor 178,5481 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 9314/178, 2207/5481?
Answer: LCM of Numerators as per given numbers 9314/178, 2207/5481 is
LCM of Numerators i.e. for 9314,2207 is 20555998
GCF of denominators i.e. for 178,5481 is 1.
Thus, LCM of Fractions is 20555998.Finally, LCM of Fractions for 9314/178, 2207/5481 is 20555998.