Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 222/351, 2774/7743 quickly i.e. 102638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 222/351, 2774/7743 is 102638.
LCM(222/351, 2774/7743) = 102638
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 222/351,2774/7743
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 222,2774
Least Common Multiple of Numerators i.e. LCM of 222,2774 is 307914.
GCF of Denominators means GCF of 351,7743 as per the given fractions.
GCF of 351,7743 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 222,2774
2 | 222, 2774 |
111, 1387 |
∴ So the LCM of the given numbers is 2 x 111 x 1387 = 307914
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 222,2774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,2774) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(222,2774) x common factors =2 x 1 = 2
LCM(222,2774) = ( 222 × 2774 ) / 2
LCM(222,2774) = 615828 / 2
LCM(222,2774) = 307914
Lets's calculate GCF of 351,7743
3 | 351, 7743 |
117, 2581 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307914/3
Therefore the LCM of Fractions 222/351,2774/7743 is 102638
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 7743
List of positive integer factors of 7743 that divides 7743 without a remainder.
1,3,29,87,89,267,2581,7743
Greatest Common Factor
We found the factors 351,7743 . The biggest common factor number is the GCF number.
So the greatest common factor 351,7743 is 3.
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 222/351, 2774/7743?
Answer: LCM of Numerators as per given numbers 222/351, 2774/7743 is
LCM of Numerators i.e. for 222,2774 is 307914
GCF of denominators i.e. for 351,7743 is 3.
Thus, LCM of Fractions is 102638.Finally, LCM of Fractions for 222/351, 2774/7743 is 102638.