Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 892/847, 5402/5827 quickly i.e. 2409292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 892/847, 5402/5827 is 2409292.
LCM(892/847, 5402/5827) = 2409292
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 892/847,5402/5827
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 892,5402
Least Common Multiple of Numerators i.e. LCM of 892,5402 is 2409292.
GCF of Denominators means GCF of 847,5827 as per the given fractions.
GCF of 847,5827 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 892,5402
2 | 892, 5402 |
446, 2701 |
∴ So the LCM of the given numbers is 2 x 446 x 2701 = 2409292
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 892,5402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,5402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(892,5402) x common factors =2 x 1 = 2
LCM(892,5402) = ( 892 × 5402 ) / 2
LCM(892,5402) = 4818584 / 2
LCM(892,5402) = 2409292
Lets's calculate GCF of 847,5827
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2409292/1
Therefore the LCM of Fractions 892/847,5402/5827 is 2409292
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Factors of 5827
List of positive integer factors of 5827 that divides 5827 without a remainder.
1,5827
Greatest Common Factor
We found the factors 847,5827 . The biggest common factor number is the GCF number.
So the greatest common factor 847,5827 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 892/847, 5402/5827?
Answer: LCM of Numerators as per given numbers 892/847, 5402/5827 is
LCM of Numerators i.e. for 892,5402 is 2409292
GCF of denominators i.e. for 847,5827 is 1.
Thus, LCM of Fractions is 2409292.Finally, LCM of Fractions for 892/847, 5402/5827 is 2409292.