Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 415/35, 877/2227 quickly i.e. 363955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 415/35, 877/2227 is 363955.
LCM(415/35, 877/2227) = 363955
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 415/35,877/2227
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 415,877
Least Common Multiple of Numerators i.e. LCM of 415,877 is 363955.
GCF of Denominators means GCF of 35,2227 as per the given fractions.
GCF of 35,2227 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 415,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 363955
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 415,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,877) x common factors =1 x 1 = 1
LCM(415,877) = ( 415 × 877 ) / 1
LCM(415,877) = 363955 / 1
LCM(415,877) = 363955
Lets's calculate GCF of 35,2227
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 363955/1
Therefore the LCM of Fractions 415/35,877/2227 is 363955
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 2227
List of positive integer factors of 2227 that divides 2227 without a remainder.
1,17,131,2227
Greatest Common Factor
We found the factors 35,2227 . The biggest common factor number is the GCF number.
So the greatest common factor 35,2227 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 415/35, 877/2227?
Answer: LCM of Numerators as per given numbers 415/35, 877/2227 is
LCM of Numerators i.e. for 415,877 is 363955
GCF of denominators i.e. for 35,2227 is 1.
Thus, LCM of Fractions is 363955.Finally, LCM of Fractions for 415/35, 877/2227 is 363955.