Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 222/77, 263/72, 203/306 quickly i.e. 11852358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 222/77, 263/72, 203/306 is 11852358.
LCM(222/77, 263/72, 203/306) = 11852358
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 222/77,263/72,203/306
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 222,263,203
Least Common Multiple of Numerators i.e. LCM of 222,263,203 is 11852358.
GCF of Denominators means GCF of 77,72,306 as per the given fractions.
GCF of 77,72,306 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 222,263,203
Given numbers has no common factors except 1. So, there LCM is their product i.e 11852358
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 222,263,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,263,203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(222,263,203) x common factors =1 x 1 = 1
LCM(222,263,203) = ( 222 × 263 × 203 ) / 1
LCM(222,263,203) = 11852358 / 1
LCM(222,263,203) = 11852358
Lets's calculate GCF of 77,72,306
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11852358/1
Therefore the LCM of Fractions 222/77,263/72,203/306 is 11852358
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Greatest Common Factor
We found the factors 77,72,306 . The biggest common factor number is the GCF number.
So the greatest common factor 77,72,306 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 222/77, 263/72, 203/306?
Answer: LCM of Numerators as per given numbers 222/77, 263/72, 203/306 is
LCM of Numerators i.e. for 222,263,203 is 11852358
GCF of denominators i.e. for 77,72,306 is 1.
Thus, LCM of Fractions is 11852358.Finally, LCM of Fractions for 222/77, 263/72, 203/306 is 11852358.