Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 263/236, 996/954 quickly i.e. 130974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 263/236, 996/954 is 130974.
LCM(263/236, 996/954) = 130974
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 263/236,996/954
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 263,996
Least Common Multiple of Numerators i.e. LCM of 263,996 is 261948.
GCF of Denominators means GCF of 236,954 as per the given fractions.
GCF of 236,954 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 263,996
Given numbers has no common factors except 1. So, there LCM is their product i.e 261948
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 263,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,996) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,996) x common factors =1 x 1 = 1
LCM(263,996) = ( 263 × 996 ) / 1
LCM(263,996) = 261948 / 1
LCM(263,996) = 261948
Lets's calculate GCF of 236,954
2 | 236, 954 |
118, 477 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261948/2
Therefore the LCM of Fractions 263/236,996/954 is 130974
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Greatest Common Factor
We found the factors 236,954 . The biggest common factor number is the GCF number.
So the greatest common factor 236,954 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 263/236, 996/954?
Answer: LCM of Numerators as per given numbers 263/236, 996/954 is
LCM of Numerators i.e. for 263,996 is 261948
GCF of denominators i.e. for 236,954 is 2.
Thus, LCM of Fractions is 130974.Finally, LCM of Fractions for 263/236, 996/954 is 130974.