Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/194, 452/300, 263/262 quickly i.e. 3744594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/194, 452/300, 263/262 is 3744594.
LCM(63/194, 452/300, 263/262) = 3744594
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/194,452/300,263/262
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 63,452,263
Least Common Multiple of Numerators i.e. LCM of 63,452,263 is 7489188.
GCF of Denominators means GCF of 194,300,262 as per the given fractions.
GCF of 194,300,262 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,452,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 7489188
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 63,452,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,452,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,452,263) x common factors =1 x 1 = 1
LCM(63,452,263) = ( 63 × 452 × 263 ) / 1
LCM(63,452,263) = 7489188 / 1
LCM(63,452,263) = 7489188
Lets's calculate GCF of 194,300,262
2 | 194, 300, 262 |
97, 150, 131 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7489188/2
Therefore the LCM of Fractions 63/194,452/300,263/262 is 3744594
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Greatest Common Factor
We found the factors 194,300,262 . The biggest common factor number is the GCF number.
So the greatest common factor 194,300,262 is 2.
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 63/194, 452/300, 263/262?
Answer: LCM of Numerators as per given numbers 63/194, 452/300, 263/262 is
LCM of Numerators i.e. for 63,452,263 is 7489188
GCF of denominators i.e. for 194,300,262 is 2.
Thus, LCM of Fractions is 3744594.Finally, LCM of Fractions for 63/194, 452/300, 263/262 is 3744594.