Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 631/54, 984/39, 793/852 quickly i.e. 164125624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 631/54, 984/39, 793/852 is 164125624.
LCM(631/54, 984/39, 793/852) = 164125624
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 631/54,984/39,793/852
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 631,984,793
Least Common Multiple of Numerators i.e. LCM of 631,984,793 is 492376872.
GCF of Denominators means GCF of 54,39,852 as per the given fractions.
GCF of 54,39,852 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 631,984,793
Given numbers has no common factors except 1. So, there LCM is their product i.e 492376872
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 631,984,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,984,793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,984,793) x common factors =1 x 1 = 1
LCM(631,984,793) = ( 631 × 984 × 793 ) / 1
LCM(631,984,793) = 492376872 / 1
LCM(631,984,793) = 492376872
Lets's calculate GCF of 54,39,852
3 | 54, 39, 852 |
18, 13, 284 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 492376872/3
Therefore the LCM of Fractions 631/54,984/39,793/852 is 164125624
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 54,39,852 . The biggest common factor number is the GCF number.
So the greatest common factor 54,39,852 is 3.
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 631/54, 984/39, 793/852?
Answer: LCM of Numerators as per given numbers 631/54, 984/39, 793/852 is
LCM of Numerators i.e. for 631,984,793 is 492376872
GCF of denominators i.e. for 54,39,852 is 3.
Thus, LCM of Fractions is 164125624.Finally, LCM of Fractions for 631/54, 984/39, 793/852 is 164125624.