Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5436/888, 7891/3246 quickly i.e. 7149246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5436/888, 7891/3246 is 7149246.
LCM(5436/888, 7891/3246) = 7149246
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5436/888,7891/3246
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 5436,7891
Least Common Multiple of Numerators i.e. LCM of 5436,7891 is 42895476.
GCF of Denominators means GCF of 888,3246 as per the given fractions.
GCF of 888,3246 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5436,7891
Given numbers has no common factors except 1. So, there LCM is their product i.e 42895476
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 5436,7891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5436,7891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5436,7891) x common factors =1 x 1 = 1
LCM(5436,7891) = ( 5436 × 7891 ) / 1
LCM(5436,7891) = 42895476 / 1
LCM(5436,7891) = 42895476
Lets's calculate GCF of 888,3246
2 | 888, 3246 |
3 | 444, 1623 |
148, 541 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42895476/6
Therefore the LCM of Fractions 5436/888,7891/3246 is 7149246
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 3246
List of positive integer factors of 3246 that divides 3246 without a remainder.
1,2,3,6,541,1082,1623,3246
Greatest Common Factor
We found the factors 888,3246 . The biggest common factor number is the GCF number.
So the greatest common factor 888,3246 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 5436/888, 7891/3246?
Answer: LCM of Numerators as per given numbers 5436/888, 7891/3246 is
LCM of Numerators i.e. for 5436,7891 is 42895476
GCF of denominators i.e. for 888,3246 is 6.
Thus, LCM of Fractions is 7149246.Finally, LCM of Fractions for 5436/888, 7891/3246 is 7149246.