Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 778/739, 5796/1479 quickly i.e. 2254644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 778/739, 5796/1479 is 2254644.
LCM(778/739, 5796/1479) = 2254644
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 778/739,5796/1479
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 778,5796
Least Common Multiple of Numerators i.e. LCM of 778,5796 is 2254644.
GCF of Denominators means GCF of 739,1479 as per the given fractions.
GCF of 739,1479 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 778,5796
2 | 778, 5796 |
389, 2898 |
∴ So the LCM of the given numbers is 2 x 389 x 2898 = 2254644
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 778,5796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,5796) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(778,5796) x common factors =2 x 1 = 2
LCM(778,5796) = ( 778 × 5796 ) / 2
LCM(778,5796) = 4509288 / 2
LCM(778,5796) = 2254644
Lets's calculate GCF of 739,1479
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2254644/1
Therefore the LCM of Fractions 778/739,5796/1479 is 2254644
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Factors of 1479
List of positive integer factors of 1479 that divides 1479 without a remainder.
1,3,17,29,51,87,493,1479
Greatest Common Factor
We found the factors 739,1479 . The biggest common factor number is the GCF number.
So the greatest common factor 739,1479 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 778/739, 5796/1479?
Answer: LCM of Numerators as per given numbers 778/739, 5796/1479 is
LCM of Numerators i.e. for 778,5796 is 2254644
GCF of denominators i.e. for 739,1479 is 1.
Thus, LCM of Fractions is 2254644.Finally, LCM of Fractions for 778/739, 5796/1479 is 2254644.