Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5635/973, 2436/497 quickly i.e. 280140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5635/973, 2436/497 is 280140.
LCM(5635/973, 2436/497) = 280140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5635/973,2436/497
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 5635,2436
Least Common Multiple of Numerators i.e. LCM of 5635,2436 is 1960980.
GCF of Denominators means GCF of 973,497 as per the given fractions.
GCF of 973,497 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5635,2436
7 | 5635, 2436 |
805, 348 |
∴ So the LCM of the given numbers is 7 x 805 x 348 = 1960980
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 5635,2436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5635,2436) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(5635,2436) x common factors =7 x 1 = 7
LCM(5635,2436) = ( 5635 × 2436 ) / 7
LCM(5635,2436) = 13726860 / 7
LCM(5635,2436) = 1960980
Lets's calculate GCF of 973,497
7 | 973, 497 |
139, 71 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1960980/7
Therefore the LCM of Fractions 5635/973,2436/497 is 280140
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Greatest Common Factor
We found the factors 973,497 . The biggest common factor number is the GCF number.
So the greatest common factor 973,497 is 7.
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 5635/973, 2436/497?
Answer: LCM of Numerators as per given numbers 5635/973, 2436/497 is
LCM of Numerators i.e. for 5635,2436 is 1960980
GCF of denominators i.e. for 973,497 is 7.
Thus, LCM of Fractions is 280140.Finally, LCM of Fractions for 5635/973, 2436/497 is 280140.