Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/77, 295/43, 253/274 quickly i.e. 223905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/77, 295/43, 253/274 is 223905.
LCM(33/77, 295/43, 253/274) = 223905
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/77,295/43,253/274
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 33,295,253
Least Common Multiple of Numerators i.e. LCM of 33,295,253 is 223905.
GCF of Denominators means GCF of 77,43,274 as per the given fractions.
GCF of 77,43,274 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,295,253
11 | 33, 295, 253 |
3, 295, 23 |
∴ So the LCM of the given numbers is 11 x 3 x 295 x 23 = 223905
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 33,295,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,295,253) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(33,295,253) x common factors =1 x 11 = 11
LCM(33,295,253) = ( 33 × 295 × 253 ) / 11
LCM(33,295,253) = 2462955 / 11
LCM(33,295,253) = 223905
Lets's calculate GCF of 77,43,274
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223905/1
Therefore the LCM of Fractions 33/77,295/43,253/274 is 223905
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Greatest Common Factor
We found the factors 77,43,274 . The biggest common factor number is the GCF number.
So the greatest common factor 77,43,274 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 33/77, 295/43, 253/274?
Answer: LCM of Numerators as per given numbers 33/77, 295/43, 253/274 is
LCM of Numerators i.e. for 33,295,253 is 223905
GCF of denominators i.e. for 77,43,274 is 1.
Thus, LCM of Fractions is 223905.Finally, LCM of Fractions for 33/77, 295/43, 253/274 is 223905.