Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 262/963, 5202/5385 quickly i.e. 227154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 262/963, 5202/5385 is 227154.
LCM(262/963, 5202/5385) = 227154
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 262/963,5202/5385
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 262,5202
Least Common Multiple of Numerators i.e. LCM of 262,5202 is 681462.
GCF of Denominators means GCF of 963,5385 as per the given fractions.
GCF of 963,5385 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 262,5202
2 | 262, 5202 |
131, 2601 |
∴ So the LCM of the given numbers is 2 x 131 x 2601 = 681462
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 262,5202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,5202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,5202) x common factors =2 x 1 = 2
LCM(262,5202) = ( 262 × 5202 ) / 2
LCM(262,5202) = 1362924 / 2
LCM(262,5202) = 681462
Lets's calculate GCF of 963,5385
3 | 963, 5385 |
321, 1795 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 681462/3
Therefore the LCM of Fractions 262/963,5202/5385 is 227154
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Factors of 5385
List of positive integer factors of 5385 that divides 5385 without a remainder.
1,3,5,15,359,1077,1795,5385
Greatest Common Factor
We found the factors 963,5385 . The biggest common factor number is the GCF number.
So the greatest common factor 963,5385 is 3.
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 262/963, 5202/5385?
Answer: LCM of Numerators as per given numbers 262/963, 5202/5385 is
LCM of Numerators i.e. for 262,5202 is 681462
GCF of denominators i.e. for 963,5385 is 3.
Thus, LCM of Fractions is 227154.Finally, LCM of Fractions for 262/963, 5202/5385 is 227154.