Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/363, 6653/7715 quickly i.e. 612076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/363, 6653/7715 is 612076.
LCM(92/363, 6653/7715) = 612076
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/363,6653/7715
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 92,6653
Least Common Multiple of Numerators i.e. LCM of 92,6653 is 612076.
GCF of Denominators means GCF of 363,7715 as per the given fractions.
GCF of 363,7715 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,6653
Given numbers has no common factors except 1. So, there LCM is their product i.e 612076
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 92,6653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,6653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,6653) x common factors =1 x 1 = 1
LCM(92,6653) = ( 92 × 6653 ) / 1
LCM(92,6653) = 612076 / 1
LCM(92,6653) = 612076
Lets's calculate GCF of 363,7715
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 612076/1
Therefore the LCM of Fractions 92/363,6653/7715 is 612076
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 7715
List of positive integer factors of 7715 that divides 7715 without a remainder.
1,5,1543,7715
Greatest Common Factor
We found the factors 363,7715 . The biggest common factor number is the GCF number.
So the greatest common factor 363,7715 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 92/363, 6653/7715?
Answer: LCM of Numerators as per given numbers 92/363, 6653/7715 is
LCM of Numerators i.e. for 92,6653 is 612076
GCF of denominators i.e. for 363,7715 is 1.
Thus, LCM of Fractions is 612076.Finally, LCM of Fractions for 92/363, 6653/7715 is 612076.