Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 696/55, 165/234 quickly i.e. 38280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 696/55, 165/234 is 38280.
LCM(696/55, 165/234) = 38280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 696/55,165/234
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 696,165
Least Common Multiple of Numerators i.e. LCM of 696,165 is 38280.
GCF of Denominators means GCF of 55,234 as per the given fractions.
GCF of 55,234 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 696,165
3 | 696, 165 |
232, 55 |
∴ So the LCM of the given numbers is 3 x 232 x 55 = 38280
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 696,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,165) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(696,165) x common factors =3 x 1 = 3
LCM(696,165) = ( 696 × 165 ) / 3
LCM(696,165) = 114840 / 3
LCM(696,165) = 38280
Lets's calculate GCF of 55,234
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38280/1
Therefore the LCM of Fractions 696/55,165/234 is 38280
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 55,234 . The biggest common factor number is the GCF number.
So the greatest common factor 55,234 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 696/55, 165/234?
Answer: LCM of Numerators as per given numbers 696/55, 165/234 is
LCM of Numerators i.e. for 696,165 is 38280
GCF of denominators i.e. for 55,234 is 1.
Thus, LCM of Fractions is 38280.Finally, LCM of Fractions for 696/55, 165/234 is 38280.