Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 991/90, 361/7837 quickly i.e. 357751 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 991/90, 361/7837 is 357751.
LCM(991/90, 361/7837) = 357751
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 991/90,361/7837
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 991,361
Least Common Multiple of Numerators i.e. LCM of 991,361 is 357751.
GCF of Denominators means GCF of 90,7837 as per the given fractions.
GCF of 90,7837 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 991,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 357751
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 991,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,361) x common factors =1 x 1 = 1
LCM(991,361) = ( 991 × 361 ) / 1
LCM(991,361) = 357751 / 1
LCM(991,361) = 357751
Lets's calculate GCF of 90,7837
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 357751/1
Therefore the LCM of Fractions 991/90,361/7837 is 357751
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 7837
List of positive integer factors of 7837 that divides 7837 without a remainder.
1,17,461,7837
Greatest Common Factor
We found the factors 90,7837 . The biggest common factor number is the GCF number.
So the greatest common factor 90,7837 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 991/90, 361/7837?
Answer: LCM of Numerators as per given numbers 991/90, 361/7837 is
LCM of Numerators i.e. for 991,361 is 357751
GCF of denominators i.e. for 90,7837 is 1.
Thus, LCM of Fractions is 357751.Finally, LCM of Fractions for 991/90, 361/7837 is 357751.