Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 871/94, 677/69, 608/283 quickly i.e. 358517536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 871/94, 677/69, 608/283 is 358517536.
LCM(871/94, 677/69, 608/283) = 358517536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 871/94,677/69,608/283
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 871,677,608
Least Common Multiple of Numerators i.e. LCM of 871,677,608 is 358517536.
GCF of Denominators means GCF of 94,69,283 as per the given fractions.
GCF of 94,69,283 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 871,677,608
Given numbers has no common factors except 1. So, there LCM is their product i.e 358517536
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 871,677,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,677,608) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,677,608) x common factors =1 x 1 = 1
LCM(871,677,608) = ( 871 × 677 × 608 ) / 1
LCM(871,677,608) = 358517536 / 1
LCM(871,677,608) = 358517536
Lets's calculate GCF of 94,69,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 358517536/1
Therefore the LCM of Fractions 871/94,677/69,608/283 is 358517536
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 94,69,283 . The biggest common factor number is the GCF number.
So the greatest common factor 94,69,283 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 871/94, 677/69, 608/283?
Answer: LCM of Numerators as per given numbers 871/94, 677/69, 608/283 is
LCM of Numerators i.e. for 871,677,608 is 358517536
GCF of denominators i.e. for 94,69,283 is 1.
Thus, LCM of Fractions is 358517536.Finally, LCM of Fractions for 871/94, 677/69, 608/283 is 358517536.