Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 696/389, 4007/148 quickly i.e. 2788872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 696/389, 4007/148 is 2788872.
LCM(696/389, 4007/148) = 2788872
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 696/389,4007/148
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 696,4007
Least Common Multiple of Numerators i.e. LCM of 696,4007 is 2788872.
GCF of Denominators means GCF of 389,148 as per the given fractions.
GCF of 389,148 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 696,4007
Given numbers has no common factors except 1. So, there LCM is their product i.e 2788872
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 696,4007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,4007) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(696,4007) x common factors =1 x 1 = 1
LCM(696,4007) = ( 696 × 4007 ) / 1
LCM(696,4007) = 2788872 / 1
LCM(696,4007) = 2788872
Lets's calculate GCF of 389,148
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2788872/1
Therefore the LCM of Fractions 696/389,4007/148 is 2788872
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Greatest Common Factor
We found the factors 389,148 . The biggest common factor number is the GCF number.
So the greatest common factor 389,148 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 696/389, 4007/148?
Answer: LCM of Numerators as per given numbers 696/389, 4007/148 is
LCM of Numerators i.e. for 696,4007 is 2788872
GCF of denominators i.e. for 389,148 is 1.
Thus, LCM of Fractions is 2788872.Finally, LCM of Fractions for 696/389, 4007/148 is 2788872.