Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7836/868, 2122/1786 quickly i.e. 4156998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7836/868, 2122/1786 is 4156998.
LCM(7836/868, 2122/1786) = 4156998
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7836/868,2122/1786
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 7836,2122
Least Common Multiple of Numerators i.e. LCM of 7836,2122 is 8313996.
GCF of Denominators means GCF of 868,1786 as per the given fractions.
GCF of 868,1786 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7836,2122
2 | 7836, 2122 |
3918, 1061 |
∴ So the LCM of the given numbers is 2 x 3918 x 1061 = 8313996
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 7836,2122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7836,2122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7836,2122) x common factors =2 x 1 = 2
LCM(7836,2122) = ( 7836 × 2122 ) / 2
LCM(7836,2122) = 16627992 / 2
LCM(7836,2122) = 8313996
Lets's calculate GCF of 868,1786
2 | 868, 1786 |
434, 893 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8313996/2
Therefore the LCM of Fractions 7836/868,2122/1786 is 4156998
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Factors of 1786
List of positive integer factors of 1786 that divides 1786 without a remainder.
1,2,19,38,47,94,893,1786
Greatest Common Factor
We found the factors 868,1786 . The biggest common factor number is the GCF number.
So the greatest common factor 868,1786 is 2.
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 7836/868, 2122/1786?
Answer: LCM of Numerators as per given numbers 7836/868, 2122/1786 is
LCM of Numerators i.e. for 7836,2122 is 8313996
GCF of denominators i.e. for 868,1786 is 2.
Thus, LCM of Fractions is 4156998.Finally, LCM of Fractions for 7836/868, 2122/1786 is 4156998.