Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 547/737, 8537/3488 quickly i.e. 4669739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 547/737, 8537/3488 is 4669739.
LCM(547/737, 8537/3488) = 4669739
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 547/737,8537/3488
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 547,8537
Least Common Multiple of Numerators i.e. LCM of 547,8537 is 4669739.
GCF of Denominators means GCF of 737,3488 as per the given fractions.
GCF of 737,3488 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 547,8537
Given numbers has no common factors except 1. So, there LCM is their product i.e 4669739
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 547,8537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,8537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,8537) x common factors =1 x 1 = 1
LCM(547,8537) = ( 547 × 8537 ) / 1
LCM(547,8537) = 4669739 / 1
LCM(547,8537) = 4669739
Lets's calculate GCF of 737,3488
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4669739/1
Therefore the LCM of Fractions 547/737,8537/3488 is 4669739
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Factors of 3488
List of positive integer factors of 3488 that divides 3488 without a remainder.
1,2,4,8,16,32,109,218,436,872,1744,3488
Greatest Common Factor
We found the factors 737,3488 . The biggest common factor number is the GCF number.
So the greatest common factor 737,3488 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 547/737, 8537/3488?
Answer: LCM of Numerators as per given numbers 547/737, 8537/3488 is
LCM of Numerators i.e. for 547,8537 is 4669739
GCF of denominators i.e. for 737,3488 is 1.
Thus, LCM of Fractions is 4669739.Finally, LCM of Fractions for 547/737, 8537/3488 is 4669739.