Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/278, 96/139 quickly i.e. 2016/139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/278, 96/139 is 2016/139.
LCM(63/278, 96/139) = 2016/139
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/278,96/139
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 63,96
Least Common Multiple of Numerators i.e. LCM of 63,96 is 2016.
GCF of Denominators means GCF of 278,139 as per the given fractions.
GCF of 278,139 is 139 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,96
3 | 63, 96 |
21, 32 |
∴ So the LCM of the given numbers is 3 x 21 x 32 = 2016
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 63,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,96) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(63,96) x common factors =3 x 1 = 3
LCM(63,96) = ( 63 × 96 ) / 3
LCM(63,96) = 6048 / 3
LCM(63,96) = 2016
Lets's calculate GCF of 278,139
139 | 278, 139 |
2, 1 |
∴ So the GCF of the given numbers is 139 = 139
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2016/139
Therefore the LCM of Fractions 63/278,96/139 is 2016/139
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Greatest Common Factor
We found the factors 278,139 . The biggest common factor number is the GCF number.
So the greatest common factor 278,139 is 139.
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 63/278, 96/139?
Answer: LCM of Numerators as per given numbers 63/278, 96/139 is
LCM of Numerators i.e. for 63,96 is 2016
GCF of denominators i.e. for 278,139 is 139.
Thus, LCM of Fractions is 2016/139.Finally, LCM of Fractions for 63/278, 96/139 is 2016/139.