Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 236/80, 182/7069 quickly i.e. 21476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 236/80, 182/7069 is 21476.
LCM(236/80, 182/7069) = 21476
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 236/80,182/7069
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 236,182
Least Common Multiple of Numerators i.e. LCM of 236,182 is 21476.
GCF of Denominators means GCF of 80,7069 as per the given fractions.
GCF of 80,7069 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 236,182
2 | 236, 182 |
118, 91 |
∴ So the LCM of the given numbers is 2 x 118 x 91 = 21476
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 236,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,182) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(236,182) x common factors =2 x 1 = 2
LCM(236,182) = ( 236 × 182 ) / 2
LCM(236,182) = 42952 / 2
LCM(236,182) = 21476
Lets's calculate GCF of 80,7069
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21476/1
Therefore the LCM of Fractions 236/80,182/7069 is 21476
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 7069
List of positive integer factors of 7069 that divides 7069 without a remainder.
1,7069
Greatest Common Factor
We found the factors 80,7069 . The biggest common factor number is the GCF number.
So the greatest common factor 80,7069 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 236/80, 182/7069?
Answer: LCM of Numerators as per given numbers 236/80, 182/7069 is
LCM of Numerators i.e. for 236,182 is 21476
GCF of denominators i.e. for 80,7069 is 1.
Thus, LCM of Fractions is 21476.Finally, LCM of Fractions for 236/80, 182/7069 is 21476.