Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 997/48, 191/52, 355/200 quickly i.e. 67601585/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 997/48, 191/52, 355/200 is 67601585/4.
LCM(997/48, 191/52, 355/200) = 67601585/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 997/48,191/52,355/200
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 997,191,355
Least Common Multiple of Numerators i.e. LCM of 997,191,355 is 67601585.
GCF of Denominators means GCF of 48,52,200 as per the given fractions.
GCF of 48,52,200 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 997,191,355
Given numbers has no common factors except 1. So, there LCM is their product i.e 67601585
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 997,191,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,191,355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,191,355) x common factors =1 x 1 = 1
LCM(997,191,355) = ( 997 × 191 × 355 ) / 1
LCM(997,191,355) = 67601585 / 1
LCM(997,191,355) = 67601585
Lets's calculate GCF of 48,52,200
2 | 48, 52, 200 |
2 | 24, 26, 100 |
12, 13, 50 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67601585/4
Therefore the LCM of Fractions 997/48,191/52,355/200 is 67601585/4
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 48,52,200 . The biggest common factor number is the GCF number.
So the greatest common factor 48,52,200 is 4.
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 997/48, 191/52, 355/200?
Answer: LCM of Numerators as per given numbers 997/48, 191/52, 355/200 is
LCM of Numerators i.e. for 997,191,355 is 67601585
GCF of denominators i.e. for 48,52,200 is 4.
Thus, LCM of Fractions is 67601585/4.Finally, LCM of Fractions for 997/48, 191/52, 355/200 is 67601585/4.