Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/766, 963/990, 274/955 quickly i.e. 20317374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/766, 963/990, 274/955 is 20317374.
LCM(77/766, 963/990, 274/955) = 20317374
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/766,963/990,274/955
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 77,963,274
Least Common Multiple of Numerators i.e. LCM of 77,963,274 is 20317374.
GCF of Denominators means GCF of 766,990,955 as per the given fractions.
GCF of 766,990,955 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,963,274
Given numbers has no common factors except 1. So, there LCM is their product i.e 20317374
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 77,963,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,963,274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,963,274) x common factors =1 x 1 = 1
LCM(77,963,274) = ( 77 × 963 × 274 ) / 1
LCM(77,963,274) = 20317374 / 1
LCM(77,963,274) = 20317374
Lets's calculate GCF of 766,990,955
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20317374/1
Therefore the LCM of Fractions 77/766,963/990,274/955 is 20317374
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Greatest Common Factor
We found the factors 766,990,955 . The biggest common factor number is the GCF number.
So the greatest common factor 766,990,955 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 77/766, 963/990, 274/955?
Answer: LCM of Numerators as per given numbers 77/766, 963/990, 274/955 is
LCM of Numerators i.e. for 77,963,274 is 20317374
GCF of denominators i.e. for 766,990,955 is 1.
Thus, LCM of Fractions is 20317374.Finally, LCM of Fractions for 77/766, 963/990, 274/955 is 20317374.