Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7641/976, 9074/901 quickly i.e. 69334434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7641/976, 9074/901 is 69334434.
LCM(7641/976, 9074/901) = 69334434
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7641/976,9074/901
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 7641,9074
Least Common Multiple of Numerators i.e. LCM of 7641,9074 is 69334434.
GCF of Denominators means GCF of 976,901 as per the given fractions.
GCF of 976,901 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7641,9074
Given numbers has no common factors except 1. So, there LCM is their product i.e 69334434
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 7641,9074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7641,9074) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7641,9074) x common factors =1 x 1 = 1
LCM(7641,9074) = ( 7641 × 9074 ) / 1
LCM(7641,9074) = 69334434 / 1
LCM(7641,9074) = 69334434
Lets's calculate GCF of 976,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69334434/1
Therefore the LCM of Fractions 7641/976,9074/901 is 69334434
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Greatest Common Factor
We found the factors 976,901 . The biggest common factor number is the GCF number.
So the greatest common factor 976,901 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 7641/976, 9074/901?
Answer: LCM of Numerators as per given numbers 7641/976, 9074/901 is
LCM of Numerators i.e. for 7641,9074 is 69334434
GCF of denominators i.e. for 976,901 is 1.
Thus, LCM of Fractions is 69334434.Finally, LCM of Fractions for 7641/976, 9074/901 is 69334434.