Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 791/744, 777/965, 882/763 quickly i.e. 3687642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 791/744, 777/965, 882/763 is 3687642.
LCM(791/744, 777/965, 882/763) = 3687642
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 791/744,777/965,882/763
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 791,777,882
Least Common Multiple of Numerators i.e. LCM of 791,777,882 is 3687642.
GCF of Denominators means GCF of 744,965,763 as per the given fractions.
GCF of 744,965,763 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 791,777,882
3 | 791, 777, 882 |
7 | 791, 259, 294 |
113, 37, 42 |
∴ So the LCM of the given numbers is 3 x 7 x 113 x 37 x 42 = 3687642
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 791,777,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,777,882) = 7
common factors(in case of two or more numbers have common factors) = 21
GCF(791,777,882) x common factors =7 x 21 = 147
LCM(791,777,882) = ( 791 × 777 × 882 ) / 147
LCM(791,777,882) = 542083374 / 147
LCM(791,777,882) = 3687642
Lets's calculate GCF of 744,965,763
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3687642/1
Therefore the LCM of Fractions 791/744,777/965,882/763 is 3687642
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Greatest Common Factor
We found the factors 744,965,763 . The biggest common factor number is the GCF number.
So the greatest common factor 744,965,763 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 791/744, 777/965, 882/763?
Answer: LCM of Numerators as per given numbers 791/744, 777/965, 882/763 is
LCM of Numerators i.e. for 791,777,882 is 3687642
GCF of denominators i.e. for 744,965,763 is 1.
Thus, LCM of Fractions is 3687642.Finally, LCM of Fractions for 791/744, 777/965, 882/763 is 3687642.