Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/88, 54/18, 34/314 quickly i.e. 16065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/88, 54/18, 34/314 is 16065.
LCM(35/88, 54/18, 34/314) = 16065
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/88,54/18,34/314
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 35,54,34
Least Common Multiple of Numerators i.e. LCM of 35,54,34 is 32130.
GCF of Denominators means GCF of 88,18,314 as per the given fractions.
GCF of 88,18,314 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,54,34
2 | 35, 54, 34 |
35, 27, 17 |
∴ So the LCM of the given numbers is 2 x 35 x 27 x 17 = 32130
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 35,54,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,54,34) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(35,54,34) x common factors =1 x 2 = 2
LCM(35,54,34) = ( 35 × 54 × 34 ) / 2
LCM(35,54,34) = 64260 / 2
LCM(35,54,34) = 32130
Lets's calculate GCF of 88,18,314
2 | 88, 18, 314 |
44, 9, 157 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32130/2
Therefore the LCM of Fractions 35/88,54/18,34/314 is 16065
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 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
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 88,18,314 . The biggest common factor number is the GCF number.
So the greatest common factor 88,18,314 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 35/88, 54/18, 34/314?
Answer: LCM of Numerators as per given numbers 35/88, 54/18, 34/314 is
LCM of Numerators i.e. for 35,54,34 is 32130
GCF of denominators i.e. for 88,18,314 is 2.
Thus, LCM of Fractions is 16065.Finally, LCM of Fractions for 35/88, 54/18, 34/314 is 16065.