Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 912/788, 1937/7767 quickly i.e. 1766544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 912/788, 1937/7767 is 1766544.
LCM(912/788, 1937/7767) = 1766544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 912/788,1937/7767
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 912,1937
Least Common Multiple of Numerators i.e. LCM of 912,1937 is 1766544.
GCF of Denominators means GCF of 788,7767 as per the given fractions.
GCF of 788,7767 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 912,1937
Given numbers has no common factors except 1. So, there LCM is their product i.e 1766544
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 912,1937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,1937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(912,1937) x common factors =1 x 1 = 1
LCM(912,1937) = ( 912 × 1937 ) / 1
LCM(912,1937) = 1766544 / 1
LCM(912,1937) = 1766544
Lets's calculate GCF of 788,7767
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1766544/1
Therefore the LCM of Fractions 912/788,1937/7767 is 1766544
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Factors of 7767
List of positive integer factors of 7767 that divides 7767 without a remainder.
1,3,9,863,2589,7767
Greatest Common Factor
We found the factors 788,7767 . The biggest common factor number is the GCF number.
So the greatest common factor 788,7767 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 912/788, 1937/7767?
Answer: LCM of Numerators as per given numbers 912/788, 1937/7767 is
LCM of Numerators i.e. for 912,1937 is 1766544
GCF of denominators i.e. for 788,7767 is 1.
Thus, LCM of Fractions is 1766544.Finally, LCM of Fractions for 912/788, 1937/7767 is 1766544.