Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/76, 52/11, 172/857 quickly i.e. 2236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/76, 52/11, 172/857 is 2236.
LCM(43/76, 52/11, 172/857) = 2236
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/76,52/11,172/857
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 43,52,172
Least Common Multiple of Numerators i.e. LCM of 43,52,172 is 2236.
GCF of Denominators means GCF of 76,11,857 as per the given fractions.
GCF of 76,11,857 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,52,172
2 | 43, 52, 172 |
2 | 43, 26, 86 |
43 | 43, 13, 43 |
1, 13, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 1 x 13 x 1 = 2236
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 43,52,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,52,172) = 1
common factors(in case of two or more numbers have common factors) = 172
GCF(43,52,172) x common factors =1 x 172 = 172
LCM(43,52,172) = ( 43 × 52 × 172 ) / 172
LCM(43,52,172) = 384592 / 172
LCM(43,52,172) = 2236
Lets's calculate GCF of 76,11,857
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2236/1
Therefore the LCM of Fractions 43/76,52/11,172/857 is 2236
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Greatest Common Factor
We found the factors 76,11,857 . The biggest common factor number is the GCF number.
So the greatest common factor 76,11,857 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 43/76, 52/11, 172/857?
Answer: LCM of Numerators as per given numbers 43/76, 52/11, 172/857 is
LCM of Numerators i.e. for 43,52,172 is 2236
GCF of denominators i.e. for 76,11,857 is 1.
Thus, LCM of Fractions is 2236.Finally, LCM of Fractions for 43/76, 52/11, 172/857 is 2236.