Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/287, 23/211, 914/920 quickly i.e. 1828914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/287, 23/211, 914/920 is 1828914.
LCM(87/287, 23/211, 914/920) = 1828914
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/287,23/211,914/920
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 87,23,914
Least Common Multiple of Numerators i.e. LCM of 87,23,914 is 1828914.
GCF of Denominators means GCF of 287,211,920 as per the given fractions.
GCF of 287,211,920 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,23,914
Given numbers has no common factors except 1. So, there LCM is their product i.e 1828914
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 87,23,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,23,914) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,23,914) x common factors =1 x 1 = 1
LCM(87,23,914) = ( 87 × 23 × 914 ) / 1
LCM(87,23,914) = 1828914 / 1
LCM(87,23,914) = 1828914
Lets's calculate GCF of 287,211,920
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1828914/1
Therefore the LCM of Fractions 87/287,23/211,914/920 is 1828914
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 287,211,920 . The biggest common factor number is the GCF number.
So the greatest common factor 287,211,920 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 87/287, 23/211, 914/920?
Answer: LCM of Numerators as per given numbers 87/287, 23/211, 914/920 is
LCM of Numerators i.e. for 87,23,914 is 1828914
GCF of denominators i.e. for 287,211,920 is 1.
Thus, LCM of Fractions is 1828914.Finally, LCM of Fractions for 87/287, 23/211, 914/920 is 1828914.