Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 777/707, 1160/734 quickly i.e. 901320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 777/707, 1160/734 is 901320.
LCM(777/707, 1160/734) = 901320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 777/707,1160/734
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 777,1160
Least Common Multiple of Numerators i.e. LCM of 777,1160 is 901320.
GCF of Denominators means GCF of 707,734 as per the given fractions.
GCF of 707,734 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 777,1160
Given numbers has no common factors except 1. So, there LCM is their product i.e 901320
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 777,1160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,1160) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(777,1160) x common factors =1 x 1 = 1
LCM(777,1160) = ( 777 × 1160 ) / 1
LCM(777,1160) = 901320 / 1
LCM(777,1160) = 901320
Lets's calculate GCF of 707,734
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 901320/1
Therefore the LCM of Fractions 777/707,1160/734 is 901320
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Greatest Common Factor
We found the factors 707,734 . The biggest common factor number is the GCF number.
So the greatest common factor 707,734 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 777/707, 1160/734?
Answer: LCM of Numerators as per given numbers 777/707, 1160/734 is
LCM of Numerators i.e. for 777,1160 is 901320
GCF of denominators i.e. for 707,734 is 1.
Thus, LCM of Fractions is 901320.Finally, LCM of Fractions for 777/707, 1160/734 is 901320.