Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 285/178, 4946/565 quickly i.e. 1409610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 285/178, 4946/565 is 1409610.
LCM(285/178, 4946/565) = 1409610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 285/178,4946/565
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 285,4946
Least Common Multiple of Numerators i.e. LCM of 285,4946 is 1409610.
GCF of Denominators means GCF of 178,565 as per the given fractions.
GCF of 178,565 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 285,4946
Given numbers has no common factors except 1. So, there LCM is their product i.e 1409610
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 285,4946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,4946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(285,4946) x common factors =1 x 1 = 1
LCM(285,4946) = ( 285 × 4946 ) / 1
LCM(285,4946) = 1409610 / 1
LCM(285,4946) = 1409610
Lets's calculate GCF of 178,565
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1409610/1
Therefore the LCM of Fractions 285/178,4946/565 is 1409610
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Greatest Common Factor
We found the factors 178,565 . The biggest common factor number is the GCF number.
So the greatest common factor 178,565 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 285/178, 4946/565?
Answer: LCM of Numerators as per given numbers 285/178, 4946/565 is
LCM of Numerators i.e. for 285,4946 is 1409610
GCF of denominators i.e. for 178,565 is 1.
Thus, LCM of Fractions is 1409610.Finally, LCM of Fractions for 285/178, 4946/565 is 1409610.