Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 603/92, 265/44, 304/777 quickly i.e. 48577680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 603/92, 265/44, 304/777 is 48577680.
LCM(603/92, 265/44, 304/777) = 48577680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 603/92,265/44,304/777
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 603,265,304
Least Common Multiple of Numerators i.e. LCM of 603,265,304 is 48577680.
GCF of Denominators means GCF of 92,44,777 as per the given fractions.
GCF of 92,44,777 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 603,265,304
Given numbers has no common factors except 1. So, there LCM is their product i.e 48577680
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 603,265,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,265,304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,265,304) x common factors =1 x 1 = 1
LCM(603,265,304) = ( 603 × 265 × 304 ) / 1
LCM(603,265,304) = 48577680 / 1
LCM(603,265,304) = 48577680
Lets's calculate GCF of 92,44,777
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48577680/1
Therefore the LCM of Fractions 603/92,265/44,304/777 is 48577680
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Greatest Common Factor
We found the factors 92,44,777 . The biggest common factor number is the GCF number.
So the greatest common factor 92,44,777 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 603/92, 265/44, 304/777?
Answer: LCM of Numerators as per given numbers 603/92, 265/44, 304/777 is
LCM of Numerators i.e. for 603,265,304 is 48577680
GCF of denominators i.e. for 92,44,777 is 1.
Thus, LCM of Fractions is 48577680.Finally, LCM of Fractions for 603/92, 265/44, 304/777 is 48577680.