Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1187/98, 6064/981 quickly i.e. 7197968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1187/98, 6064/981 is 7197968.
LCM(1187/98, 6064/981) = 7197968
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1187/98,6064/981
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 1187,6064
Least Common Multiple of Numerators i.e. LCM of 1187,6064 is 7197968.
GCF of Denominators means GCF of 98,981 as per the given fractions.
GCF of 98,981 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1187,6064
Given numbers has no common factors except 1. So, there LCM is their product i.e 7197968
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 1187,6064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1187,6064) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1187,6064) x common factors =1 x 1 = 1
LCM(1187,6064) = ( 1187 × 6064 ) / 1
LCM(1187,6064) = 7197968 / 1
LCM(1187,6064) = 7197968
Lets's calculate GCF of 98,981
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7197968/1
Therefore the LCM of Fractions 1187/98,6064/981 is 7197968
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Greatest Common Factor
We found the factors 98,981 . The biggest common factor number is the GCF number.
So the greatest common factor 98,981 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 1187/98, 6064/981?
Answer: LCM of Numerators as per given numbers 1187/98, 6064/981 is
LCM of Numerators i.e. for 1187,6064 is 7197968
GCF of denominators i.e. for 98,981 is 1.
Thus, LCM of Fractions is 7197968.Finally, LCM of Fractions for 1187/98, 6064/981 is 7197968.