Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/88, 88/54, 76/48, 66/938 quickly i.e. 2508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/88, 88/54, 76/48, 66/938 is 2508.
LCM(12/88, 88/54, 76/48, 66/938) = 2508
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/88,88/54,76/48,66/938
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 12,88,76,66
Least Common Multiple of Numerators i.e. LCM of 12,88,76,66 is 5016.
GCF of Denominators means GCF of 88,54,48,938 as per the given fractions.
GCF of 88,54,48,938 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,88,76,66
2 | 12, 88, 76, 66 |
2 | 6, 44, 38, 33 |
3 | 3, 22, 19, 33 |
11 | 1, 22, 19, 11 |
1, 2, 19, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 2 x 19 x 1 = 5016
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 12,88,76,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,88,76,66) = 2
common factors(in case of two or more numbers have common factors) = 528
GCF(12,88,76,66) x common factors =2 x 528 = 1056
LCM(12,88,76,66) = ( 12 × 88 × 76 × 66 ) / 1056
LCM(12,88,76,66) = 5296896 / 1056
LCM(12,88,76,66) = 5016
Lets's calculate GCF of 88,54,48,938
2 | 88, 54, 48, 938 |
44, 27, 24, 469 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5016/2
Therefore the LCM of Fractions 12/88,88/54,76/48,66/938 is 2508
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 88,54,48,938 . The biggest common factor number is the GCF number.
So the greatest common factor 88,54,48,938 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 12/88, 88/54, 76/48, 66/938?
Answer: LCM of Numerators as per given numbers 12/88, 88/54, 76/48, 66/938 is
LCM of Numerators i.e. for 12,88,76,66 is 5016
GCF of denominators i.e. for 88,54,48,938 is 2.
Thus, LCM of Fractions is 2508.Finally, LCM of Fractions for 12/88, 88/54, 76/48, 66/938 is 2508.