Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 892/36, 785/2523 quickly i.e. 700220/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 892/36, 785/2523 is 700220/3.
LCM(892/36, 785/2523) = 700220/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 892/36,785/2523
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 892,785
Least Common Multiple of Numerators i.e. LCM of 892,785 is 700220.
GCF of Denominators means GCF of 36,2523 as per the given fractions.
GCF of 36,2523 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 892,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 700220
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 892,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(892,785) x common factors =1 x 1 = 1
LCM(892,785) = ( 892 × 785 ) / 1
LCM(892,785) = 700220 / 1
LCM(892,785) = 700220
Lets's calculate GCF of 36,2523
3 | 36, 2523 |
12, 841 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 700220/3
Therefore the LCM of Fractions 892/36,785/2523 is 700220/3
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 2523
List of positive integer factors of 2523 that divides 2523 without a remainder.
1,3,29,87,841,2523
Greatest Common Factor
We found the factors 36,2523 . The biggest common factor number is the GCF number.
So the greatest common factor 36,2523 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 892/36, 785/2523?
Answer: LCM of Numerators as per given numbers 892/36, 785/2523 is
LCM of Numerators i.e. for 892,785 is 700220
GCF of denominators i.e. for 36,2523 is 3.
Thus, LCM of Fractions is 700220/3.Finally, LCM of Fractions for 892/36, 785/2523 is 700220/3.