Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1861/748, 2667/825 quickly i.e. 4963287/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1861/748, 2667/825 is 4963287/11.
LCM(1861/748, 2667/825) = 4963287/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1861/748,2667/825
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 1861,2667
Least Common Multiple of Numerators i.e. LCM of 1861,2667 is 4963287.
GCF of Denominators means GCF of 748,825 as per the given fractions.
GCF of 748,825 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1861,2667
Given numbers has no common factors except 1. So, there LCM is their product i.e 4963287
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 1861,2667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1861,2667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1861,2667) x common factors =1 x 1 = 1
LCM(1861,2667) = ( 1861 × 2667 ) / 1
LCM(1861,2667) = 4963287 / 1
LCM(1861,2667) = 4963287
Lets's calculate GCF of 748,825
11 | 748, 825 |
68, 75 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4963287/11
Therefore the LCM of Fractions 1861/748,2667/825 is 4963287/11
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 748,825 . The biggest common factor number is the GCF number.
So the greatest common factor 748,825 is 11.
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 1861/748, 2667/825?
Answer: LCM of Numerators as per given numbers 1861/748, 2667/825 is
LCM of Numerators i.e. for 1861,2667 is 4963287
GCF of denominators i.e. for 748,825 is 11.
Thus, LCM of Fractions is 4963287/11.Finally, LCM of Fractions for 1861/748, 2667/825 is 4963287/11.