Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3787/913, 7774/767 quickly i.e. 29440138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3787/913, 7774/767 is 29440138.
LCM(3787/913, 7774/767) = 29440138
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3787/913,7774/767
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 3787,7774
Least Common Multiple of Numerators i.e. LCM of 3787,7774 is 29440138.
GCF of Denominators means GCF of 913,767 as per the given fractions.
GCF of 913,767 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3787,7774
Given numbers has no common factors except 1. So, there LCM is their product i.e 29440138
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 3787,7774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3787,7774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3787,7774) x common factors =1 x 1 = 1
LCM(3787,7774) = ( 3787 × 7774 ) / 1
LCM(3787,7774) = 29440138 / 1
LCM(3787,7774) = 29440138
Lets's calculate GCF of 913,767
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29440138/1
Therefore the LCM of Fractions 3787/913,7774/767 is 29440138
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Greatest Common Factor
We found the factors 913,767 . The biggest common factor number is the GCF number.
So the greatest common factor 913,767 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 3787/913, 7774/767?
Answer: LCM of Numerators as per given numbers 3787/913, 7774/767 is
LCM of Numerators i.e. for 3787,7774 is 29440138
GCF of denominators i.e. for 913,767 is 1.
Thus, LCM of Fractions is 29440138.Finally, LCM of Fractions for 3787/913, 7774/767 is 29440138.