Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1040/226, 5401/484 quickly i.e. 2808520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1040/226, 5401/484 is 2808520.
LCM(1040/226, 5401/484) = 2808520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1040/226,5401/484
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 1040,5401
Least Common Multiple of Numerators i.e. LCM of 1040,5401 is 5617040.
GCF of Denominators means GCF of 226,484 as per the given fractions.
GCF of 226,484 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1040,5401
Given numbers has no common factors except 1. So, there LCM is their product i.e 5617040
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 1040,5401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1040,5401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1040,5401) x common factors =1 x 1 = 1
LCM(1040,5401) = ( 1040 × 5401 ) / 1
LCM(1040,5401) = 5617040 / 1
LCM(1040,5401) = 5617040
Lets's calculate GCF of 226,484
2 | 226, 484 |
113, 242 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5617040/2
Therefore the LCM of Fractions 1040/226,5401/484 is 2808520
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Greatest Common Factor
We found the factors 226,484 . The biggest common factor number is the GCF number.
So the greatest common factor 226,484 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 1040/226, 5401/484?
Answer: LCM of Numerators as per given numbers 1040/226, 5401/484 is
LCM of Numerators i.e. for 1040,5401 is 5617040
GCF of denominators i.e. for 226,484 is 2.
Thus, LCM of Fractions is 2808520.Finally, LCM of Fractions for 1040/226, 5401/484 is 2808520.