Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 981/140, 7456/8066 quickly i.e. 3657168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 981/140, 7456/8066 is 3657168.
LCM(981/140, 7456/8066) = 3657168
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 981/140,7456/8066
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 981,7456
Least Common Multiple of Numerators i.e. LCM of 981,7456 is 7314336.
GCF of Denominators means GCF of 140,8066 as per the given fractions.
GCF of 140,8066 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 981,7456
Given numbers has no common factors except 1. So, there LCM is their product i.e 7314336
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 981,7456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,7456) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(981,7456) x common factors =1 x 1 = 1
LCM(981,7456) = ( 981 × 7456 ) / 1
LCM(981,7456) = 7314336 / 1
LCM(981,7456) = 7314336
Lets's calculate GCF of 140,8066
2 | 140, 8066 |
70, 4033 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7314336/2
Therefore the LCM of Fractions 981/140,7456/8066 is 3657168
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Factors of 8066
List of positive integer factors of 8066 that divides 8066 without a remainder.
1,2,37,74,109,218,4033,8066
Greatest Common Factor
We found the factors 140,8066 . The biggest common factor number is the GCF number.
So the greatest common factor 140,8066 is 2.
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 981/140, 7456/8066?
Answer: LCM of Numerators as per given numbers 981/140, 7456/8066 is
LCM of Numerators i.e. for 981,7456 is 7314336
GCF of denominators i.e. for 140,8066 is 2.
Thus, LCM of Fractions is 3657168.Finally, LCM of Fractions for 981/140, 7456/8066 is 3657168.