Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/84, 26/88, 84/33, 33/314 quickly i.e. 24024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/84, 26/88, 84/33, 33/314 is 24024.
LCM(88/84, 26/88, 84/33, 33/314) = 24024
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/84,26/88,84/33,33/314
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 88,26,84,33
Least Common Multiple of Numerators i.e. LCM of 88,26,84,33 is 24024.
GCF of Denominators means GCF of 84,88,33,314 as per the given fractions.
GCF of 84,88,33,314 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,26,84,33
2 | 88, 26, 84, 33 |
2 | 44, 13, 42, 33 |
3 | 22, 13, 21, 33 |
11 | 22, 13, 7, 11 |
2, 13, 7, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 2 x 13 x 7 x 1 = 24024
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 88,26,84,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,26,84,33) = 1
common factors(in case of two or more numbers have common factors) = 264
GCF(88,26,84,33) x common factors =1 x 264 = 264
LCM(88,26,84,33) = ( 88 × 26 × 84 × 33 ) / 264
LCM(88,26,84,33) = 6342336 / 264
LCM(88,26,84,33) = 24024
Lets's calculate GCF of 84,88,33,314
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24024/1
Therefore the LCM of Fractions 88/84,26/88,84/33,33/314 is 24024
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
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 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Greatest Common Factor
We found the factors 84,88,33,314 . The biggest common factor number is the GCF number.
So the greatest common factor 84,88,33,314 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 88/84, 26/88, 84/33, 33/314?
Answer: LCM of Numerators as per given numbers 88/84, 26/88, 84/33, 33/314 is
LCM of Numerators i.e. for 88,26,84,33 is 24024
GCF of denominators i.e. for 84,88,33,314 is 1.
Thus, LCM of Fractions is 24024.Finally, LCM of Fractions for 88/84, 26/88, 84/33, 33/314 is 24024.