Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/985, 82/139, 773/207 quickly i.e. 6148442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/985, 82/139, 773/207 is 6148442.
LCM(97/985, 82/139, 773/207) = 6148442
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/985,82/139,773/207
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 97,82,773
Least Common Multiple of Numerators i.e. LCM of 97,82,773 is 6148442.
GCF of Denominators means GCF of 985,139,207 as per the given fractions.
GCF of 985,139,207 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,82,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 6148442
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 97,82,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,82,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,82,773) x common factors =1 x 1 = 1
LCM(97,82,773) = ( 97 × 82 × 773 ) / 1
LCM(97,82,773) = 6148442 / 1
LCM(97,82,773) = 6148442
Lets's calculate GCF of 985,139,207
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6148442/1
Therefore the LCM of Fractions 97/985,82/139,773/207 is 6148442
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Greatest Common Factor
We found the factors 985,139,207 . The biggest common factor number is the GCF number.
So the greatest common factor 985,139,207 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 97/985, 82/139, 773/207?
Answer: LCM of Numerators as per given numbers 97/985, 82/139, 773/207 is
LCM of Numerators i.e. for 97,82,773 is 6148442
GCF of denominators i.e. for 985,139,207 is 1.
Thus, LCM of Fractions is 6148442.Finally, LCM of Fractions for 97/985, 82/139, 773/207 is 6148442.