Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 154/986, 6339/6275 quickly i.e. 976206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 154/986, 6339/6275 is 976206.
LCM(154/986, 6339/6275) = 976206
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 154/986,6339/6275
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 154,6339
Least Common Multiple of Numerators i.e. LCM of 154,6339 is 976206.
GCF of Denominators means GCF of 986,6275 as per the given fractions.
GCF of 986,6275 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 154,6339
Given numbers has no common factors except 1. So, there LCM is their product i.e 976206
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 154,6339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,6339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(154,6339) x common factors =1 x 1 = 1
LCM(154,6339) = ( 154 × 6339 ) / 1
LCM(154,6339) = 976206 / 1
LCM(154,6339) = 976206
Lets's calculate GCF of 986,6275
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 976206/1
Therefore the LCM of Fractions 154/986,6339/6275 is 976206
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Factors of 6275
List of positive integer factors of 6275 that divides 6275 without a remainder.
1,5,25,251,1255,6275
Greatest Common Factor
We found the factors 986,6275 . The biggest common factor number is the GCF number.
So the greatest common factor 986,6275 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 154/986, 6339/6275?
Answer: LCM of Numerators as per given numbers 154/986, 6339/6275 is
LCM of Numerators i.e. for 154,6339 is 976206
GCF of denominators i.e. for 986,6275 is 1.
Thus, LCM of Fractions is 976206.Finally, LCM of Fractions for 154/986, 6339/6275 is 976206.