Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 440/40, 563/86, 963/141 quickly i.e. 238554360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 440/40, 563/86, 963/141 is 238554360.
LCM(440/40, 563/86, 963/141) = 238554360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 440/40,563/86,963/141
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 440,563,963
Least Common Multiple of Numerators i.e. LCM of 440,563,963 is 238554360.
GCF of Denominators means GCF of 40,86,141 as per the given fractions.
GCF of 40,86,141 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 440,563,963
Given numbers has no common factors except 1. So, there LCM is their product i.e 238554360
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 440,563,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,563,963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(440,563,963) x common factors =1 x 1 = 1
LCM(440,563,963) = ( 440 × 563 × 963 ) / 1
LCM(440,563,963) = 238554360 / 1
LCM(440,563,963) = 238554360
Lets's calculate GCF of 40,86,141
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238554360/1
Therefore the LCM of Fractions 440/40,563/86,963/141 is 238554360
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Greatest Common Factor
We found the factors 40,86,141 . The biggest common factor number is the GCF number.
So the greatest common factor 40,86,141 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 440/40, 563/86, 963/141?
Answer: LCM of Numerators as per given numbers 440/40, 563/86, 963/141 is
LCM of Numerators i.e. for 440,563,963 is 238554360
GCF of denominators i.e. for 40,86,141 is 1.
Thus, LCM of Fractions is 238554360.Finally, LCM of Fractions for 440/40, 563/86, 963/141 is 238554360.