Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/95, 22/528, 381/773 quickly i.e. 209550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/95, 22/528, 381/773 is 209550.
LCM(25/95, 22/528, 381/773) = 209550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/95,22/528,381/773
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 25,22,381
Least Common Multiple of Numerators i.e. LCM of 25,22,381 is 209550.
GCF of Denominators means GCF of 95,528,773 as per the given fractions.
GCF of 95,528,773 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,22,381
Given numbers has no common factors except 1. So, there LCM is their product i.e 209550
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 25,22,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,22,381) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,22,381) x common factors =1 x 1 = 1
LCM(25,22,381) = ( 25 × 22 × 381 ) / 1
LCM(25,22,381) = 209550 / 1
LCM(25,22,381) = 209550
Lets's calculate GCF of 95,528,773
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209550/1
Therefore the LCM of Fractions 25/95,22/528,381/773 is 209550
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Greatest Common Factor
We found the factors 95,528,773 . The biggest common factor number is the GCF number.
So the greatest common factor 95,528,773 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 25/95, 22/528, 381/773?
Answer: LCM of Numerators as per given numbers 25/95, 22/528, 381/773 is
LCM of Numerators i.e. for 25,22,381 is 209550
GCF of denominators i.e. for 95,528,773 is 1.
Thus, LCM of Fractions is 209550.Finally, LCM of Fractions for 25/95, 22/528, 381/773 is 209550.