Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 228/716, 2319/206 quickly i.e. 88122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 228/716, 2319/206 is 88122.
LCM(228/716, 2319/206) = 88122
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 228/716,2319/206
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 228,2319
Least Common Multiple of Numerators i.e. LCM of 228,2319 is 176244.
GCF of Denominators means GCF of 716,206 as per the given fractions.
GCF of 716,206 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 228,2319
3 | 228, 2319 |
76, 773 |
∴ So the LCM of the given numbers is 3 x 76 x 773 = 176244
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 228,2319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,2319) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(228,2319) x common factors =3 x 1 = 3
LCM(228,2319) = ( 228 × 2319 ) / 3
LCM(228,2319) = 528732 / 3
LCM(228,2319) = 176244
Lets's calculate GCF of 716,206
2 | 716, 206 |
358, 103 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176244/2
Therefore the LCM of Fractions 228/716,2319/206 is 88122
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Greatest Common Factor
We found the factors 716,206 . The biggest common factor number is the GCF number.
So the greatest common factor 716,206 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 228/716, 2319/206?
Answer: LCM of Numerators as per given numbers 228/716, 2319/206 is
LCM of Numerators i.e. for 228,2319 is 176244
GCF of denominators i.e. for 716,206 is 2.
Thus, LCM of Fractions is 88122.Finally, LCM of Fractions for 228/716, 2319/206 is 88122.