Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 894/36, 2202/618 quickly i.e. 54683 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 894/36, 2202/618 is 54683.
LCM(894/36, 2202/618) = 54683
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 894/36,2202/618
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 894,2202
Least Common Multiple of Numerators i.e. LCM of 894,2202 is 328098.
GCF of Denominators means GCF of 36,618 as per the given fractions.
GCF of 36,618 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 894,2202
2 | 894, 2202 |
3 | 447, 1101 |
149, 367 |
∴ So the LCM of the given numbers is 2 x 3 x 149 x 367 = 328098
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 894,2202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,2202) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(894,2202) x common factors =6 x 1 = 6
LCM(894,2202) = ( 894 × 2202 ) / 6
LCM(894,2202) = 1968588 / 6
LCM(894,2202) = 328098
Lets's calculate GCF of 36,618
2 | 36, 618 |
3 | 18, 309 |
6, 103 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 328098/6
Therefore the LCM of Fractions 894/36,2202/618 is 54683
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 36,618 . The biggest common factor number is the GCF number.
So the greatest common factor 36,618 is 6.
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 894/36, 2202/618?
Answer: LCM of Numerators as per given numbers 894/36, 2202/618 is
LCM of Numerators i.e. for 894,2202 is 328098
GCF of denominators i.e. for 36,618 is 6.
Thus, LCM of Fractions is 54683.Finally, LCM of Fractions for 894/36, 2202/618 is 54683.