Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 292/843, 9030/292 quickly i.e. 1318380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 292/843, 9030/292 is 1318380.
LCM(292/843, 9030/292) = 1318380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 292/843,9030/292
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 292,9030
Least Common Multiple of Numerators i.e. LCM of 292,9030 is 1318380.
GCF of Denominators means GCF of 843,292 as per the given fractions.
GCF of 843,292 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 292,9030
2 | 292, 9030 |
146, 4515 |
∴ So the LCM of the given numbers is 2 x 146 x 4515 = 1318380
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 292,9030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,9030) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(292,9030) x common factors =2 x 1 = 2
LCM(292,9030) = ( 292 × 9030 ) / 2
LCM(292,9030) = 2636760 / 2
LCM(292,9030) = 1318380
Lets's calculate GCF of 843,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1318380/1
Therefore the LCM of Fractions 292/843,9030/292 is 1318380
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 843,292 . The biggest common factor number is the GCF number.
So the greatest common factor 843,292 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 292/843, 9030/292?
Answer: LCM of Numerators as per given numbers 292/843, 9030/292 is
LCM of Numerators i.e. for 292,9030 is 1318380
GCF of denominators i.e. for 843,292 is 1.
Thus, LCM of Fractions is 1318380.Finally, LCM of Fractions for 292/843, 9030/292 is 1318380.