Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 103/827, 523/624 quickly i.e. 53869 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 103/827, 523/624 is 53869.
LCM(103/827, 523/624) = 53869
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 103/827,523/624
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 103,523
Least Common Multiple of Numerators i.e. LCM of 103,523 is 53869.
GCF of Denominators means GCF of 827,624 as per the given fractions.
GCF of 827,624 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 103,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 53869
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 103,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,523) x common factors =1 x 1 = 1
LCM(103,523) = ( 103 × 523 ) / 1
LCM(103,523) = 53869 / 1
LCM(103,523) = 53869
Lets's calculate GCF of 827,624
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53869/1
Therefore the LCM of Fractions 103/827,523/624 is 53869
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1,827
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 827,624 . The biggest common factor number is the GCF number.
So the greatest common factor 827,624 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 103/827, 523/624?
Answer: LCM of Numerators as per given numbers 103/827, 523/624 is
LCM of Numerators i.e. for 103,523 is 53869
GCF of denominators i.e. for 827,624 is 1.
Thus, LCM of Fractions is 53869.Finally, LCM of Fractions for 103/827, 523/624 is 53869.