Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/63, 759/33, 377/787 quickly i.e. 27755871 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/63, 759/33, 377/787 is 27755871.
LCM(97/63, 759/33, 377/787) = 27755871
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/63,759/33,377/787
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 97,759,377
Least Common Multiple of Numerators i.e. LCM of 97,759,377 is 27755871.
GCF of Denominators means GCF of 63,33,787 as per the given fractions.
GCF of 63,33,787 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,759,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 27755871
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 97,759,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,759,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,759,377) x common factors =1 x 1 = 1
LCM(97,759,377) = ( 97 × 759 × 377 ) / 1
LCM(97,759,377) = 27755871 / 1
LCM(97,759,377) = 27755871
Lets's calculate GCF of 63,33,787
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27755871/1
Therefore the LCM of Fractions 97/63,759/33,377/787 is 27755871
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Greatest Common Factor
We found the factors 63,33,787 . The biggest common factor number is the GCF number.
So the greatest common factor 63,33,787 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 97/63, 759/33, 377/787?
Answer: LCM of Numerators as per given numbers 97/63, 759/33, 377/787 is
LCM of Numerators i.e. for 97,759,377 is 27755871
GCF of denominators i.e. for 63,33,787 is 1.
Thus, LCM of Fractions is 27755871.Finally, LCM of Fractions for 97/63, 759/33, 377/787 is 27755871.