Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 278/38, 848/4699 quickly i.e. 117872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 278/38, 848/4699 is 117872.
LCM(278/38, 848/4699) = 117872
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 278/38,848/4699
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 278,848
Least Common Multiple of Numerators i.e. LCM of 278,848 is 117872.
GCF of Denominators means GCF of 38,4699 as per the given fractions.
GCF of 38,4699 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 278,848
2 | 278, 848 |
139, 424 |
∴ So the LCM of the given numbers is 2 x 139 x 424 = 117872
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 278,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,848) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,848) x common factors =2 x 1 = 2
LCM(278,848) = ( 278 × 848 ) / 2
LCM(278,848) = 235744 / 2
LCM(278,848) = 117872
Lets's calculate GCF of 38,4699
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117872/1
Therefore the LCM of Fractions 278/38,848/4699 is 117872
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 4699
List of positive integer factors of 4699 that divides 4699 without a remainder.
1,37,127,4699
Greatest Common Factor
We found the factors 38,4699 . The biggest common factor number is the GCF number.
So the greatest common factor 38,4699 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 278/38, 848/4699?
Answer: LCM of Numerators as per given numbers 278/38, 848/4699 is
LCM of Numerators i.e. for 278,848 is 117872
GCF of denominators i.e. for 38,4699 is 1.
Thus, LCM of Fractions is 117872.Finally, LCM of Fractions for 278/38, 848/4699 is 117872.