Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/671, 989/209, 664/349 quickly i.e. 51878984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/671, 989/209, 664/349 is 51878984.
LCM(79/671, 989/209, 664/349) = 51878984
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/671,989/209,664/349
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 79,989,664
Least Common Multiple of Numerators i.e. LCM of 79,989,664 is 51878984.
GCF of Denominators means GCF of 671,209,349 as per the given fractions.
GCF of 671,209,349 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,989,664
Given numbers has no common factors except 1. So, there LCM is their product i.e 51878984
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 79,989,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,989,664) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,989,664) x common factors =1 x 1 = 1
LCM(79,989,664) = ( 79 × 989 × 664 ) / 1
LCM(79,989,664) = 51878984 / 1
LCM(79,989,664) = 51878984
Lets's calculate GCF of 671,209,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51878984/1
Therefore the LCM of Fractions 79/671,989/209,664/349 is 51878984
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Greatest Common Factor
We found the factors 671,209,349 . The biggest common factor number is the GCF number.
So the greatest common factor 671,209,349 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 79/671, 989/209, 664/349?
Answer: LCM of Numerators as per given numbers 79/671, 989/209, 664/349 is
LCM of Numerators i.e. for 79,989,664 is 51878984
GCF of denominators i.e. for 671,209,349 is 1.
Thus, LCM of Fractions is 51878984.Finally, LCM of Fractions for 79/671, 989/209, 664/349 is 51878984.