Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 881/742, 938/905 quickly i.e. 826378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 881/742, 938/905 is 826378.
LCM(881/742, 938/905) = 826378
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 881/742,938/905
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 881,938
Least Common Multiple of Numerators i.e. LCM of 881,938 is 826378.
GCF of Denominators means GCF of 742,905 as per the given fractions.
GCF of 742,905 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 881,938
Given numbers has no common factors except 1. So, there LCM is their product i.e 826378
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 881,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,938) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,938) x common factors =1 x 1 = 1
LCM(881,938) = ( 881 × 938 ) / 1
LCM(881,938) = 826378 / 1
LCM(881,938) = 826378
Lets's calculate GCF of 742,905
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 826378/1
Therefore the LCM of Fractions 881/742,938/905 is 826378
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Greatest Common Factor
We found the factors 742,905 . The biggest common factor number is the GCF number.
So the greatest common factor 742,905 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 881/742, 938/905?
Answer: LCM of Numerators as per given numbers 881/742, 938/905 is
LCM of Numerators i.e. for 881,938 is 826378
GCF of denominators i.e. for 742,905 is 1.
Thus, LCM of Fractions is 826378.Finally, LCM of Fractions for 881/742, 938/905 is 826378.