Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9426/735, 7159/6460 quickly i.e. 67480734/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9426/735, 7159/6460 is 67480734/5.
LCM(9426/735, 7159/6460) = 67480734/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9426/735,7159/6460
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 9426,7159
Least Common Multiple of Numerators i.e. LCM of 9426,7159 is 67480734.
GCF of Denominators means GCF of 735,6460 as per the given fractions.
GCF of 735,6460 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9426,7159
Given numbers has no common factors except 1. So, there LCM is their product i.e 67480734
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 9426,7159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9426,7159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9426,7159) x common factors =1 x 1 = 1
LCM(9426,7159) = ( 9426 × 7159 ) / 1
LCM(9426,7159) = 67480734 / 1
LCM(9426,7159) = 67480734
Lets's calculate GCF of 735,6460
5 | 735, 6460 |
147, 1292 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67480734/5
Therefore the LCM of Fractions 9426/735,7159/6460 is 67480734/5
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Factors of 6460
List of positive integer factors of 6460 that divides 6460 without a remainder.
1,2,4,5,10,17,19,20,34,38,68,76,85,95,170,190,323,340,380,646,1292,1615,3230,6460
Greatest Common Factor
We found the factors 735,6460 . The biggest common factor number is the GCF number.
So the greatest common factor 735,6460 is 5.
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 9426/735, 7159/6460?
Answer: LCM of Numerators as per given numbers 9426/735, 7159/6460 is
LCM of Numerators i.e. for 9426,7159 is 67480734
GCF of denominators i.e. for 735,6460 is 5.
Thus, LCM of Fractions is 67480734/5.Finally, LCM of Fractions for 9426/735, 7159/6460 is 67480734/5.