Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2463/92, 7624/816 quickly i.e. 4694478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2463/92, 7624/816 is 4694478.
LCM(2463/92, 7624/816) = 4694478
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2463/92,7624/816
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 2463,7624
Least Common Multiple of Numerators i.e. LCM of 2463,7624 is 18777912.
GCF of Denominators means GCF of 92,816 as per the given fractions.
GCF of 92,816 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2463,7624
Given numbers has no common factors except 1. So, there LCM is their product i.e 18777912
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 2463,7624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2463,7624) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2463,7624) x common factors =1 x 1 = 1
LCM(2463,7624) = ( 2463 × 7624 ) / 1
LCM(2463,7624) = 18777912 / 1
LCM(2463,7624) = 18777912
Lets's calculate GCF of 92,816
2 | 92, 816 |
2 | 46, 408 |
23, 204 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18777912/4
Therefore the LCM of Fractions 2463/92,7624/816 is 4694478
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Greatest Common Factor
We found the factors 92,816 . The biggest common factor number is the GCF number.
So the greatest common factor 92,816 is 4.
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 2463/92, 7624/816?
Answer: LCM of Numerators as per given numbers 2463/92, 7624/816 is
LCM of Numerators i.e. for 2463,7624 is 18777912
GCF of denominators i.e. for 92,816 is 4.
Thus, LCM of Fractions is 4694478.Finally, LCM of Fractions for 2463/92, 7624/816 is 4694478.