Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/852, 92/289, 623/587 quickly i.e. 4757228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/852, 92/289, 623/587 is 4757228.
LCM(83/852, 92/289, 623/587) = 4757228
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/852,92/289,623/587
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 83,92,623
Least Common Multiple of Numerators i.e. LCM of 83,92,623 is 4757228.
GCF of Denominators means GCF of 852,289,587 as per the given fractions.
GCF of 852,289,587 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,92,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 4757228
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 83,92,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,92,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,92,623) x common factors =1 x 1 = 1
LCM(83,92,623) = ( 83 × 92 × 623 ) / 1
LCM(83,92,623) = 4757228 / 1
LCM(83,92,623) = 4757228
Lets's calculate GCF of 852,289,587
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4757228/1
Therefore the LCM of Fractions 83/852,92/289,623/587 is 4757228
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 289
List of positive integer factors of 289 that divides 289 without a remainder.
1,17,289
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Greatest Common Factor
We found the factors 852,289,587 . The biggest common factor number is the GCF number.
So the greatest common factor 852,289,587 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 83/852, 92/289, 623/587?
Answer: LCM of Numerators as per given numbers 83/852, 92/289, 623/587 is
LCM of Numerators i.e. for 83,92,623 is 4757228
GCF of denominators i.e. for 852,289,587 is 1.
Thus, LCM of Fractions is 4757228.Finally, LCM of Fractions for 83/852, 92/289, 623/587 is 4757228.