Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 629/700, 327/617, 503/737 quickly i.e. 103458549 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 629/700, 327/617, 503/737 is 103458549.
LCM(629/700, 327/617, 503/737) = 103458549
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 629/700,327/617,503/737
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 629,327,503
Least Common Multiple of Numerators i.e. LCM of 629,327,503 is 103458549.
GCF of Denominators means GCF of 700,617,737 as per the given fractions.
GCF of 700,617,737 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 629,327,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 103458549
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 629,327,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,327,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,327,503) x common factors =1 x 1 = 1
LCM(629,327,503) = ( 629 × 327 × 503 ) / 1
LCM(629,327,503) = 103458549 / 1
LCM(629,327,503) = 103458549
Lets's calculate GCF of 700,617,737
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103458549/1
Therefore the LCM of Fractions 629/700,327/617,503/737 is 103458549
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Greatest Common Factor
We found the factors 700,617,737 . The biggest common factor number is the GCF number.
So the greatest common factor 700,617,737 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 629/700, 327/617, 503/737?
Answer: LCM of Numerators as per given numbers 629/700, 327/617, 503/737 is
LCM of Numerators i.e. for 629,327,503 is 103458549
GCF of denominators i.e. for 700,617,737 is 1.
Thus, LCM of Fractions is 103458549.Finally, LCM of Fractions for 629/700, 327/617, 503/737 is 103458549.