Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5534/194, 2350/4061 quickly i.e. 6502450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5534/194, 2350/4061 is 6502450.
LCM(5534/194, 2350/4061) = 6502450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5534/194,2350/4061
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 5534,2350
Least Common Multiple of Numerators i.e. LCM of 5534,2350 is 6502450.
GCF of Denominators means GCF of 194,4061 as per the given fractions.
GCF of 194,4061 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5534,2350
2 | 5534, 2350 |
2767, 1175 |
∴ So the LCM of the given numbers is 2 x 2767 x 1175 = 6502450
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 5534,2350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5534,2350) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5534,2350) x common factors =2 x 1 = 2
LCM(5534,2350) = ( 5534 × 2350 ) / 2
LCM(5534,2350) = 13004900 / 2
LCM(5534,2350) = 6502450
Lets's calculate GCF of 194,4061
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6502450/1
Therefore the LCM of Fractions 5534/194,2350/4061 is 6502450
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 4061
List of positive integer factors of 4061 that divides 4061 without a remainder.
1,31,131,4061
Greatest Common Factor
We found the factors 194,4061 . The biggest common factor number is the GCF number.
So the greatest common factor 194,4061 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 5534/194, 2350/4061?
Answer: LCM of Numerators as per given numbers 5534/194, 2350/4061 is
LCM of Numerators i.e. for 5534,2350 is 6502450
GCF of denominators i.e. for 194,4061 is 1.
Thus, LCM of Fractions is 6502450.Finally, LCM of Fractions for 5534/194, 2350/4061 is 6502450.