Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/929, 1400/9373 quickly i.e. 135800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/929, 1400/9373 is 135800.
LCM(97/929, 1400/9373) = 135800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/929,1400/9373
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 97,1400
Least Common Multiple of Numerators i.e. LCM of 97,1400 is 135800.
GCF of Denominators means GCF of 929,9373 as per the given fractions.
GCF of 929,9373 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,1400
Given numbers has no common factors except 1. So, there LCM is their product i.e 135800
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 97,1400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,1400) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,1400) x common factors =1 x 1 = 1
LCM(97,1400) = ( 97 × 1400 ) / 1
LCM(97,1400) = 135800 / 1
LCM(97,1400) = 135800
Lets's calculate GCF of 929,9373
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135800/1
Therefore the LCM of Fractions 97/929,1400/9373 is 135800
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Factors of 9373
List of positive integer factors of 9373 that divides 9373 without a remainder.
1,7,13,91,103,721,1339,9373
Greatest Common Factor
We found the factors 929,9373 . The biggest common factor number is the GCF number.
So the greatest common factor 929,9373 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 97/929, 1400/9373?
Answer: LCM of Numerators as per given numbers 97/929, 1400/9373 is
LCM of Numerators i.e. for 97,1400 is 135800
GCF of denominators i.e. for 929,9373 is 1.
Thus, LCM of Fractions is 135800.Finally, LCM of Fractions for 97/929, 1400/9373 is 135800.