Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 257/84, 189/134 quickly i.e. 48573/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 257/84, 189/134 is 48573/2.
LCM(257/84, 189/134) = 48573/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 257/84,189/134
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 257,189
Least Common Multiple of Numerators i.e. LCM of 257,189 is 48573.
GCF of Denominators means GCF of 84,134 as per the given fractions.
GCF of 84,134 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 257,189
Given numbers has no common factors except 1. So, there LCM is their product i.e 48573
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 257,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,189) x common factors =1 x 1 = 1
LCM(257,189) = ( 257 × 189 ) / 1
LCM(257,189) = 48573 / 1
LCM(257,189) = 48573
Lets's calculate GCF of 84,134
2 | 84, 134 |
42, 67 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48573/2
Therefore the LCM of Fractions 257/84,189/134 is 48573/2
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 84,134 . The biggest common factor number is the GCF number.
So the greatest common factor 84,134 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 257/84, 189/134?
Answer: LCM of Numerators as per given numbers 257/84, 189/134 is
LCM of Numerators i.e. for 257,189 is 48573
GCF of denominators i.e. for 84,134 is 2.
Thus, LCM of Fractions is 48573/2.Finally, LCM of Fractions for 257/84, 189/134 is 48573/2.