Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 975/29, 133/7110 quickly i.e. 129675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 975/29, 133/7110 is 129675.
LCM(975/29, 133/7110) = 129675
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 975/29,133/7110
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 975,133
Least Common Multiple of Numerators i.e. LCM of 975,133 is 129675.
GCF of Denominators means GCF of 29,7110 as per the given fractions.
GCF of 29,7110 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 975,133
Given numbers has no common factors except 1. So, there LCM is their product i.e 129675
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 975,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(975,133) x common factors =1 x 1 = 1
LCM(975,133) = ( 975 × 133 ) / 1
LCM(975,133) = 129675 / 1
LCM(975,133) = 129675
Lets's calculate GCF of 29,7110
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129675/1
Therefore the LCM of Fractions 975/29,133/7110 is 129675
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 7110
List of positive integer factors of 7110 that divides 7110 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,79,90,158,237,395,474,711,790,1185,1422,2370,3555,7110
Greatest Common Factor
We found the factors 29,7110 . The biggest common factor number is the GCF number.
So the greatest common factor 29,7110 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 975/29, 133/7110?
Answer: LCM of Numerators as per given numbers 975/29, 133/7110 is
LCM of Numerators i.e. for 975,133 is 129675
GCF of denominators i.e. for 29,7110 is 1.
Thus, LCM of Fractions is 129675.Finally, LCM of Fractions for 975/29, 133/7110 is 129675.