Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3320/95, 3521/228 quickly i.e. 11689720/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3320/95, 3521/228 is 11689720/19.
LCM(3320/95, 3521/228) = 11689720/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3320/95,3521/228
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 3320,3521
Least Common Multiple of Numerators i.e. LCM of 3320,3521 is 11689720.
GCF of Denominators means GCF of 95,228 as per the given fractions.
GCF of 95,228 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3320,3521
Given numbers has no common factors except 1. So, there LCM is their product i.e 11689720
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 3320,3521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3320,3521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3320,3521) x common factors =1 x 1 = 1
LCM(3320,3521) = ( 3320 × 3521 ) / 1
LCM(3320,3521) = 11689720 / 1
LCM(3320,3521) = 11689720
Lets's calculate GCF of 95,228
19 | 95, 228 |
5, 12 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11689720/19
Therefore the LCM of Fractions 3320/95,3521/228 is 11689720/19
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 95,228 . The biggest common factor number is the GCF number.
So the greatest common factor 95,228 is 19.
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 3320/95, 3521/228?
Answer: LCM of Numerators as per given numbers 3320/95, 3521/228 is
LCM of Numerators i.e. for 3320,3521 is 11689720
GCF of denominators i.e. for 95,228 is 19.
Thus, LCM of Fractions is 11689720/19.Finally, LCM of Fractions for 3320/95, 3521/228 is 11689720/19.