Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7126/377, 3991/936 quickly i.e. 2187682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7126/377, 3991/936 is 2187682.
LCM(7126/377, 3991/936) = 2187682
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7126/377,3991/936
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 7126,3991
Least Common Multiple of Numerators i.e. LCM of 7126,3991 is 28439866.
GCF of Denominators means GCF of 377,936 as per the given fractions.
GCF of 377,936 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7126,3991
Given numbers has no common factors except 1. So, there LCM is their product i.e 28439866
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 7126,3991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7126,3991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7126,3991) x common factors =1 x 1 = 1
LCM(7126,3991) = ( 7126 × 3991 ) / 1
LCM(7126,3991) = 28439866 / 1
LCM(7126,3991) = 28439866
Lets's calculate GCF of 377,936
13 | 377, 936 |
29, 72 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28439866/13
Therefore the LCM of Fractions 7126/377,3991/936 is 2187682
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Greatest Common Factor
We found the factors 377,936 . The biggest common factor number is the GCF number.
So the greatest common factor 377,936 is 13.
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 7126/377, 3991/936?
Answer: LCM of Numerators as per given numbers 7126/377, 3991/936 is
LCM of Numerators i.e. for 7126,3991 is 28439866
GCF of denominators i.e. for 377,936 is 13.
Thus, LCM of Fractions is 2187682.Finally, LCM of Fractions for 7126/377, 3991/936 is 2187682.