Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 674/228, 362/769, 296/996 quickly i.e. 18055112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 674/228, 362/769, 296/996 is 18055112.
LCM(674/228, 362/769, 296/996) = 18055112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 674/228,362/769,296/996
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 674,362,296
Least Common Multiple of Numerators i.e. LCM of 674,362,296 is 18055112.
GCF of Denominators means GCF of 228,769,996 as per the given fractions.
GCF of 228,769,996 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 674,362,296
2 | 674, 362, 296 |
337, 181, 148 |
∴ So the LCM of the given numbers is 2 x 337 x 181 x 148 = 18055112
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 674,362,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,362,296) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(674,362,296) x common factors =2 x 2 = 4
LCM(674,362,296) = ( 674 × 362 × 296 ) / 4
LCM(674,362,296) = 72220448 / 4
LCM(674,362,296) = 18055112
Lets's calculate GCF of 228,769,996
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18055112/1
Therefore the LCM of Fractions 674/228,362/769,296/996 is 18055112
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Greatest Common Factor
We found the factors 228,769,996 . The biggest common factor number is the GCF number.
So the greatest common factor 228,769,996 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 674/228, 362/769, 296/996?
Answer: LCM of Numerators as per given numbers 674/228, 362/769, 296/996 is
LCM of Numerators i.e. for 674,362,296 is 18055112
GCF of denominators i.e. for 228,769,996 is 1.
Thus, LCM of Fractions is 18055112.Finally, LCM of Fractions for 674/228, 362/769, 296/996 is 18055112.