Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 228/756, 8995/235 quickly i.e. 2050860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 228/756, 8995/235 is 2050860.
LCM(228/756, 8995/235) = 2050860
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 228/756,8995/235
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 228,8995
Least Common Multiple of Numerators i.e. LCM of 228,8995 is 2050860.
GCF of Denominators means GCF of 756,235 as per the given fractions.
GCF of 756,235 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 228,8995
Given numbers has no common factors except 1. So, there LCM is their product i.e 2050860
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 228,8995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,8995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,8995) x common factors =1 x 1 = 1
LCM(228,8995) = ( 228 × 8995 ) / 1
LCM(228,8995) = 2050860 / 1
LCM(228,8995) = 2050860
Lets's calculate GCF of 756,235
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2050860/1
Therefore the LCM of Fractions 228/756,8995/235 is 2050860
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Greatest Common Factor
We found the factors 756,235 . The biggest common factor number is the GCF number.
So the greatest common factor 756,235 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 228/756, 8995/235?
Answer: LCM of Numerators as per given numbers 228/756, 8995/235 is
LCM of Numerators i.e. for 228,8995 is 2050860
GCF of denominators i.e. for 756,235 is 1.
Thus, LCM of Fractions is 2050860.Finally, LCM of Fractions for 228/756, 8995/235 is 2050860.