Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/535, 18/900, 677/807 quickly i.e. 377766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/535, 18/900, 677/807 is 377766.
LCM(31/535, 18/900, 677/807) = 377766
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/535,18/900,677/807
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 31,18,677
Least Common Multiple of Numerators i.e. LCM of 31,18,677 is 377766.
GCF of Denominators means GCF of 535,900,807 as per the given fractions.
GCF of 535,900,807 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,18,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 377766
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 31,18,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,18,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,18,677) x common factors =1 x 1 = 1
LCM(31,18,677) = ( 31 × 18 × 677 ) / 1
LCM(31,18,677) = 377766 / 1
LCM(31,18,677) = 377766
Lets's calculate GCF of 535,900,807
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377766/1
Therefore the LCM of Fractions 31/535,18/900,677/807 is 377766
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Greatest Common Factor
We found the factors 535,900,807 . The biggest common factor number is the GCF number.
So the greatest common factor 535,900,807 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 31/535, 18/900, 677/807?
Answer: LCM of Numerators as per given numbers 31/535, 18/900, 677/807 is
LCM of Numerators i.e. for 31,18,677 is 377766
GCF of denominators i.e. for 535,900,807 is 1.
Thus, LCM of Fractions is 377766.Finally, LCM of Fractions for 31/535, 18/900, 677/807 is 377766.