Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7736/662, 3357/1246 quickly i.e. 12984876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7736/662, 3357/1246 is 12984876.
LCM(7736/662, 3357/1246) = 12984876
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7736/662,3357/1246
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 7736,3357
Least Common Multiple of Numerators i.e. LCM of 7736,3357 is 25969752.
GCF of Denominators means GCF of 662,1246 as per the given fractions.
GCF of 662,1246 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7736,3357
Given numbers has no common factors except 1. So, there LCM is their product i.e 25969752
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 7736,3357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7736,3357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7736,3357) x common factors =1 x 1 = 1
LCM(7736,3357) = ( 7736 × 3357 ) / 1
LCM(7736,3357) = 25969752 / 1
LCM(7736,3357) = 25969752
Lets's calculate GCF of 662,1246
2 | 662, 1246 |
331, 623 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25969752/2
Therefore the LCM of Fractions 7736/662,3357/1246 is 12984876
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 1246
List of positive integer factors of 1246 that divides 1246 without a remainder.
1,2,7,14,89,178,623,1246
Greatest Common Factor
We found the factors 662,1246 . The biggest common factor number is the GCF number.
So the greatest common factor 662,1246 is 2.
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 7736/662, 3357/1246?
Answer: LCM of Numerators as per given numbers 7736/662, 3357/1246 is
LCM of Numerators i.e. for 7736,3357 is 25969752
GCF of denominators i.e. for 662,1246 is 2.
Thus, LCM of Fractions is 12984876.Finally, LCM of Fractions for 7736/662, 3357/1246 is 12984876.