Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/871, 4355/9542 quickly i.e. 20770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/871, 4355/9542 is 20770.
LCM(62/871, 4355/9542) = 20770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/871,4355/9542
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 62,4355
Least Common Multiple of Numerators i.e. LCM of 62,4355 is 270010.
GCF of Denominators means GCF of 871,9542 as per the given fractions.
GCF of 871,9542 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,4355
Given numbers has no common factors except 1. So, there LCM is their product i.e 270010
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 62,4355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,4355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,4355) x common factors =1 x 1 = 1
LCM(62,4355) = ( 62 × 4355 ) / 1
LCM(62,4355) = 270010 / 1
LCM(62,4355) = 270010
Lets's calculate GCF of 871,9542
13 | 871, 9542 |
67, 734 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270010/13
Therefore the LCM of Fractions 62/871,4355/9542 is 20770
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Factors of 9542
List of positive integer factors of 9542 that divides 9542 without a remainder.
1,2,13,26,367,734,4771,9542
Greatest Common Factor
We found the factors 871,9542 . The biggest common factor number is the GCF number.
So the greatest common factor 871,9542 is 13.
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 62/871, 4355/9542?
Answer: LCM of Numerators as per given numbers 62/871, 4355/9542 is
LCM of Numerators i.e. for 62,4355 is 270010
GCF of denominators i.e. for 871,9542 is 13.
Thus, LCM of Fractions is 20770.Finally, LCM of Fractions for 62/871, 4355/9542 is 20770.