Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4946/117, 3153/234 quickly i.e. 15594738/117 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4946/117, 3153/234 is 15594738/117.
LCM(4946/117, 3153/234) = 15594738/117
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4946/117,3153/234
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 4946,3153
Least Common Multiple of Numerators i.e. LCM of 4946,3153 is 15594738.
GCF of Denominators means GCF of 117,234 as per the given fractions.
GCF of 117,234 is 117 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4946,3153
Given numbers has no common factors except 1. So, there LCM is their product i.e 15594738
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 4946,3153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4946,3153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4946,3153) x common factors =1 x 1 = 1
LCM(4946,3153) = ( 4946 × 3153 ) / 1
LCM(4946,3153) = 15594738 / 1
LCM(4946,3153) = 15594738
Lets's calculate GCF of 117,234
3 | 117, 234 |
3 | 39, 78 |
13 | 13, 26 |
1, 2 |
∴ So the GCF of the given numbers is 3 x 3 x 13 = 117
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15594738/117
Therefore the LCM of Fractions 4946/117,3153/234 is 15594738/117
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 117,234 . The biggest common factor number is the GCF number.
So the greatest common factor 117,234 is 117.
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 4946/117, 3153/234?
Answer: LCM of Numerators as per given numbers 4946/117, 3153/234 is
LCM of Numerators i.e. for 4946,3153 is 15594738
GCF of denominators i.e. for 117,234 is 117.
Thus, LCM of Fractions is 15594738/117.Finally, LCM of Fractions for 4946/117, 3153/234 is 15594738/117.