Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 263/22, 386/38, 852/111 quickly i.e. 43246668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 263/22, 386/38, 852/111 is 43246668.
LCM(263/22, 386/38, 852/111) = 43246668
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 263/22,386/38,852/111
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 263,386,852
Least Common Multiple of Numerators i.e. LCM of 263,386,852 is 43246668.
GCF of Denominators means GCF of 22,38,111 as per the given fractions.
GCF of 22,38,111 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 263,386,852
2 | 263, 386, 852 |
263, 193, 426 |
∴ So the LCM of the given numbers is 2 x 263 x 193 x 426 = 43246668
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 263,386,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,386,852) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(263,386,852) x common factors =1 x 2 = 2
LCM(263,386,852) = ( 263 × 386 × 852 ) / 2
LCM(263,386,852) = 86493336 / 2
LCM(263,386,852) = 43246668
Lets's calculate GCF of 22,38,111
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43246668/1
Therefore the LCM of Fractions 263/22,386/38,852/111 is 43246668
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Greatest Common Factor
We found the factors 22,38,111 . The biggest common factor number is the GCF number.
So the greatest common factor 22,38,111 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 263/22, 386/38, 852/111?
Answer: LCM of Numerators as per given numbers 263/22, 386/38, 852/111 is
LCM of Numerators i.e. for 263,386,852 is 43246668
GCF of denominators i.e. for 22,38,111 is 1.
Thus, LCM of Fractions is 43246668.Finally, LCM of Fractions for 263/22, 386/38, 852/111 is 43246668.