Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/52, 7/26, 4/76, 43/336 quickly i.e. 1806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/52, 7/26, 4/76, 43/336 is 1806.
LCM(3/52, 7/26, 4/76, 43/336) = 1806
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/52,7/26,4/76,43/336
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 3,7,4,43
Least Common Multiple of Numerators i.e. LCM of 3,7,4,43 is 3612.
GCF of Denominators means GCF of 52,26,76,336 as per the given fractions.
GCF of 52,26,76,336 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,7,4,43
Given numbers has no common factors except 1. So, there LCM is their product i.e 3612
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 3,7,4,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,7,4,43) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3,7,4,43) x common factors =1 x 1 = 1
LCM(3,7,4,43) = ( 3 × 7 × 4 × 43 ) / 1
LCM(3,7,4,43) = 3612 / 1
LCM(3,7,4,43) = 3612
Lets's calculate GCF of 52,26,76,336
2 | 52, 26, 76, 336 |
26, 13, 38, 168 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3612/2
Therefore the LCM of Fractions 3/52,7/26,4/76,43/336 is 1806
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 52,26,76,336 . The biggest common factor number is the GCF number.
So the greatest common factor 52,26,76,336 is 2.
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 3/52, 7/26, 4/76, 43/336?
Answer: LCM of Numerators as per given numbers 3/52, 7/26, 4/76, 43/336 is
LCM of Numerators i.e. for 3,7,4,43 is 3612
GCF of denominators i.e. for 52,26,76,336 is 2.
Thus, LCM of Fractions is 1806.Finally, LCM of Fractions for 3/52, 7/26, 4/76, 43/336 is 1806.