Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 892/506, 162/729 quickly i.e. 72252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 892/506, 162/729 is 72252.
LCM(892/506, 162/729) = 72252
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 892/506,162/729
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 892,162
Least Common Multiple of Numerators i.e. LCM of 892,162 is 72252.
GCF of Denominators means GCF of 506,729 as per the given fractions.
GCF of 506,729 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 892,162
2 | 892, 162 |
446, 81 |
∴ So the LCM of the given numbers is 2 x 446 x 81 = 72252
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 892,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,162) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(892,162) x common factors =2 x 1 = 2
LCM(892,162) = ( 892 × 162 ) / 2
LCM(892,162) = 144504 / 2
LCM(892,162) = 72252
Lets's calculate GCF of 506,729
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72252/1
Therefore the LCM of Fractions 892/506,162/729 is 72252
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 506,729 . The biggest common factor number is the GCF number.
So the greatest common factor 506,729 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 892/506, 162/729?
Answer: LCM of Numerators as per given numbers 892/506, 162/729 is
LCM of Numerators i.e. for 892,162 is 72252
GCF of denominators i.e. for 506,729 is 1.
Thus, LCM of Fractions is 72252.Finally, LCM of Fractions for 892/506, 162/729 is 72252.