Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 985/531, 9354/885 quickly i.e. 9213690/177 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 985/531, 9354/885 is 9213690/177.
LCM(985/531, 9354/885) = 9213690/177
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 985/531,9354/885
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 985,9354
Least Common Multiple of Numerators i.e. LCM of 985,9354 is 9213690.
GCF of Denominators means GCF of 531,885 as per the given fractions.
GCF of 531,885 is 177 as it is the largest common factor for these numbers.
Lets's calculate LCM of 985,9354
Given numbers has no common factors except 1. So, there LCM is their product i.e 9213690
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 985,9354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,9354) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,9354) x common factors =1 x 1 = 1
LCM(985,9354) = ( 985 × 9354 ) / 1
LCM(985,9354) = 9213690 / 1
LCM(985,9354) = 9213690
Lets's calculate GCF of 531,885
3 | 531, 885 |
59 | 177, 295 |
3, 5 |
∴ So the GCF of the given numbers is 3 x 59 = 177
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9213690/177
Therefore the LCM of Fractions 985/531,9354/885 is 9213690/177
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 531,885 . The biggest common factor number is the GCF number.
So the greatest common factor 531,885 is 177.
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 985/531, 9354/885?
Answer: LCM of Numerators as per given numbers 985/531, 9354/885 is
LCM of Numerators i.e. for 985,9354 is 9213690
GCF of denominators i.e. for 531,885 is 177.
Thus, LCM of Fractions is 9213690/177.Finally, LCM of Fractions for 985/531, 9354/885 is 9213690/177.