Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 942/43, 228/3956 quickly i.e. 35796/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 942/43, 228/3956 is 35796/43.
LCM(942/43, 228/3956) = 35796/43
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 942/43,228/3956
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 942,228
Least Common Multiple of Numerators i.e. LCM of 942,228 is 35796.
GCF of Denominators means GCF of 43,3956 as per the given fractions.
GCF of 43,3956 is 43 as it is the largest common factor for these numbers.
Lets's calculate LCM of 942,228
2 | 942, 228 |
3 | 471, 114 |
157, 38 |
∴ So the LCM of the given numbers is 2 x 3 x 157 x 38 = 35796
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 942,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,228) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(942,228) x common factors =6 x 1 = 6
LCM(942,228) = ( 942 × 228 ) / 6
LCM(942,228) = 214776 / 6
LCM(942,228) = 35796
Lets's calculate GCF of 43,3956
43 | 43, 3956 |
1, 92 |
∴ So the GCF of the given numbers is 43 = 43
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35796/43
Therefore the LCM of Fractions 942/43,228/3956 is 35796/43
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 3956
List of positive integer factors of 3956 that divides 3956 without a remainder.
1,2,4,23,43,46,86,92,172,989,1978,3956
Greatest Common Factor
We found the factors 43,3956 . The biggest common factor number is the GCF number.
So the greatest common factor 43,3956 is 43.
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 942/43, 228/3956?
Answer: LCM of Numerators as per given numbers 942/43, 228/3956 is
LCM of Numerators i.e. for 942,228 is 35796
GCF of denominators i.e. for 43,3956 is 43.
Thus, LCM of Fractions is 35796/43.Finally, LCM of Fractions for 942/43, 228/3956 is 35796/43.