Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 345/620, 798/127, 168/891 quickly i.e. 367080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 345/620, 798/127, 168/891 is 367080.
LCM(345/620, 798/127, 168/891) = 367080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 345/620,798/127,168/891
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 345,798,168
Least Common Multiple of Numerators i.e. LCM of 345,798,168 is 367080.
GCF of Denominators means GCF of 620,127,891 as per the given fractions.
GCF of 620,127,891 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 345,798,168
2 | 345, 798, 168 |
3 | 345, 399, 84 |
7 | 115, 133, 28 |
115, 19, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 115 x 19 x 4 = 367080
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 345,798,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,798,168) = 3
common factors(in case of two or more numbers have common factors) = 42
GCF(345,798,168) x common factors =3 x 42 = 126
LCM(345,798,168) = ( 345 × 798 × 168 ) / 126
LCM(345,798,168) = 46252080 / 126
LCM(345,798,168) = 367080
Lets's calculate GCF of 620,127,891
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367080/1
Therefore the LCM of Fractions 345/620,798/127,168/891 is 367080
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 620,127,891 . The biggest common factor number is the GCF number.
So the greatest common factor 620,127,891 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 345/620, 798/127, 168/891?
Answer: LCM of Numerators as per given numbers 345/620, 798/127, 168/891 is
LCM of Numerators i.e. for 345,798,168 is 367080
GCF of denominators i.e. for 620,127,891 is 1.
Thus, LCM of Fractions is 367080.Finally, LCM of Fractions for 345/620, 798/127, 168/891 is 367080.