Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/954, 1343/7329 quickly i.e. 37604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/954, 1343/7329 is 37604.
LCM(84/954, 1343/7329) = 37604
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/954,1343/7329
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 84,1343
Least Common Multiple of Numerators i.e. LCM of 84,1343 is 112812.
GCF of Denominators means GCF of 954,7329 as per the given fractions.
GCF of 954,7329 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,1343
Given numbers has no common factors except 1. So, there LCM is their product i.e 112812
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 84,1343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,1343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,1343) x common factors =1 x 1 = 1
LCM(84,1343) = ( 84 × 1343 ) / 1
LCM(84,1343) = 112812 / 1
LCM(84,1343) = 112812
Lets's calculate GCF of 954,7329
3 | 954, 7329 |
318, 2443 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112812/3
Therefore the LCM of Fractions 84/954,1343/7329 is 37604
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Factors of 7329
List of positive integer factors of 7329 that divides 7329 without a remainder.
1,3,7,21,349,1047,2443,7329
Greatest Common Factor
We found the factors 954,7329 . The biggest common factor number is the GCF number.
So the greatest common factor 954,7329 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 84/954, 1343/7329?
Answer: LCM of Numerators as per given numbers 84/954, 1343/7329 is
LCM of Numerators i.e. for 84,1343 is 112812
GCF of denominators i.e. for 954,7329 is 3.
Thus, LCM of Fractions is 37604.Finally, LCM of Fractions for 84/954, 1343/7329 is 37604.