Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/867, 45/662 quickly i.e. 1935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/867, 45/662 is 1935.
LCM(43/867, 45/662) = 1935
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/867,45/662
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 43,45
Least Common Multiple of Numerators i.e. LCM of 43,45 is 1935.
GCF of Denominators means GCF of 867,662 as per the given fractions.
GCF of 867,662 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,45
Given numbers has no common factors except 1. So, there LCM is their product i.e 1935
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 43,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,45) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,45) x common factors =1 x 1 = 1
LCM(43,45) = ( 43 × 45 ) / 1
LCM(43,45) = 1935 / 1
LCM(43,45) = 1935
Lets's calculate GCF of 867,662
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1935/1
Therefore the LCM of Fractions 43/867,45/662 is 1935
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Greatest Common Factor
We found the factors 867,662 . The biggest common factor number is the GCF number.
So the greatest common factor 867,662 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 43/867, 45/662?
Answer: LCM of Numerators as per given numbers 43/867, 45/662 is
LCM of Numerators i.e. for 43,45 is 1935
GCF of denominators i.e. for 867,662 is 1.
Thus, LCM of Fractions is 1935.Finally, LCM of Fractions for 43/867, 45/662 is 1935.