Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7106/80, 7629/238 quickly i.e. 27105837 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7106/80, 7629/238 is 27105837.
LCM(7106/80, 7629/238) = 27105837
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7106/80,7629/238
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 7106,7629
Least Common Multiple of Numerators i.e. LCM of 7106,7629 is 54211674.
GCF of Denominators means GCF of 80,238 as per the given fractions.
GCF of 80,238 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7106,7629
Given numbers has no common factors except 1. So, there LCM is their product i.e 54211674
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 7106,7629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7106,7629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7106,7629) x common factors =1 x 1 = 1
LCM(7106,7629) = ( 7106 × 7629 ) / 1
LCM(7106,7629) = 54211674 / 1
LCM(7106,7629) = 54211674
Lets's calculate GCF of 80,238
2 | 80, 238 |
40, 119 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54211674/2
Therefore the LCM of Fractions 7106/80,7629/238 is 27105837
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 80,238 . The biggest common factor number is the GCF number.
So the greatest common factor 80,238 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 7106/80, 7629/238?
Answer: LCM of Numerators as per given numbers 7106/80, 7629/238 is
LCM of Numerators i.e. for 7106,7629 is 54211674
GCF of denominators i.e. for 80,238 is 2.
Thus, LCM of Fractions is 27105837.Finally, LCM of Fractions for 7106/80, 7629/238 is 27105837.