Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 862/867, 1456/4426 quickly i.e. 627536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 862/867, 1456/4426 is 627536.
LCM(862/867, 1456/4426) = 627536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 862/867,1456/4426
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 862,1456
Least Common Multiple of Numerators i.e. LCM of 862,1456 is 627536.
GCF of Denominators means GCF of 867,4426 as per the given fractions.
GCF of 867,4426 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 862,1456
2 | 862, 1456 |
431, 728 |
∴ So the LCM of the given numbers is 2 x 431 x 728 = 627536
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 862,1456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,1456) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,1456) x common factors =2 x 1 = 2
LCM(862,1456) = ( 862 × 1456 ) / 2
LCM(862,1456) = 1255072 / 2
LCM(862,1456) = 627536
Lets's calculate GCF of 867,4426
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 627536/1
Therefore the LCM of Fractions 862/867,1456/4426 is 627536
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 4426
List of positive integer factors of 4426 that divides 4426 without a remainder.
1,2,2213,4426
Greatest Common Factor
We found the factors 867,4426 . The biggest common factor number is the GCF number.
So the greatest common factor 867,4426 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 862/867, 1456/4426?
Answer: LCM of Numerators as per given numbers 862/867, 1456/4426 is
LCM of Numerators i.e. for 862,1456 is 627536
GCF of denominators i.e. for 867,4426 is 1.
Thus, LCM of Fractions is 627536.Finally, LCM of Fractions for 862/867, 1456/4426 is 627536.