Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/42, 83/56, 48/848 quickly i.e. 21912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/42, 83/56, 48/848 is 21912.
LCM(88/42, 83/56, 48/848) = 21912
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/42,83/56,48/848
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 88,83,48
Least Common Multiple of Numerators i.e. LCM of 88,83,48 is 43824.
GCF of Denominators means GCF of 42,56,848 as per the given fractions.
GCF of 42,56,848 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,83,48
2 | 88, 83, 48 |
2 | 44, 83, 24 |
2 | 22, 83, 12 |
11, 83, 6 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 83 x 6 = 43824
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 88,83,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,83,48) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(88,83,48) x common factors =1 x 8 = 8
LCM(88,83,48) = ( 88 × 83 × 48 ) / 8
LCM(88,83,48) = 350592 / 8
LCM(88,83,48) = 43824
Lets's calculate GCF of 42,56,848
2 | 42, 56, 848 |
21, 28, 424 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43824/2
Therefore the LCM of Fractions 88/42,83/56,48/848 is 21912
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 42,56,848 . The biggest common factor number is the GCF number.
So the greatest common factor 42,56,848 is 2.
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 88/42, 83/56, 48/848?
Answer: LCM of Numerators as per given numbers 88/42, 83/56, 48/848 is
LCM of Numerators i.e. for 88,83,48 is 43824
GCF of denominators i.e. for 42,56,848 is 2.
Thus, LCM of Fractions is 21912.Finally, LCM of Fractions for 88/42, 83/56, 48/848 is 21912.