Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5208/624, 4445/2737 quickly i.e. 3307080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5208/624, 4445/2737 is 3307080.
LCM(5208/624, 4445/2737) = 3307080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5208/624,4445/2737
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 5208,4445
Least Common Multiple of Numerators i.e. LCM of 5208,4445 is 3307080.
GCF of Denominators means GCF of 624,2737 as per the given fractions.
GCF of 624,2737 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5208,4445
7 | 5208, 4445 |
744, 635 |
∴ So the LCM of the given numbers is 7 x 744 x 635 = 3307080
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 5208,4445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5208,4445) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(5208,4445) x common factors =7 x 1 = 7
LCM(5208,4445) = ( 5208 × 4445 ) / 7
LCM(5208,4445) = 23149560 / 7
LCM(5208,4445) = 3307080
Lets's calculate GCF of 624,2737
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3307080/1
Therefore the LCM of Fractions 5208/624,4445/2737 is 3307080
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Factors of 2737
List of positive integer factors of 2737 that divides 2737 without a remainder.
1,7,17,23,119,161,391,2737
Greatest Common Factor
We found the factors 624,2737 . The biggest common factor number is the GCF number.
So the greatest common factor 624,2737 is 1.
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 5208/624, 4445/2737?
Answer: LCM of Numerators as per given numbers 5208/624, 4445/2737 is
LCM of Numerators i.e. for 5208,4445 is 3307080
GCF of denominators i.e. for 624,2737 is 1.
Thus, LCM of Fractions is 3307080.Finally, LCM of Fractions for 5208/624, 4445/2737 is 3307080.