Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 795/161, 677/346, 173/357 quickly i.e. 93111195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 795/161, 677/346, 173/357 is 93111195.
LCM(795/161, 677/346, 173/357) = 93111195
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 795/161,677/346,173/357
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 795,677,173
Least Common Multiple of Numerators i.e. LCM of 795,677,173 is 93111195.
GCF of Denominators means GCF of 161,346,357 as per the given fractions.
GCF of 161,346,357 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 795,677,173
Given numbers has no common factors except 1. So, there LCM is their product i.e 93111195
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 795,677,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,677,173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(795,677,173) x common factors =1 x 1 = 1
LCM(795,677,173) = ( 795 × 677 × 173 ) / 1
LCM(795,677,173) = 93111195 / 1
LCM(795,677,173) = 93111195
Lets's calculate GCF of 161,346,357
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93111195/1
Therefore the LCM of Fractions 795/161,677/346,173/357 is 93111195
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Greatest Common Factor
We found the factors 161,346,357 . The biggest common factor number is the GCF number.
So the greatest common factor 161,346,357 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 795/161, 677/346, 173/357?
Answer: LCM of Numerators as per given numbers 795/161, 677/346, 173/357 is
LCM of Numerators i.e. for 795,677,173 is 93111195
GCF of denominators i.e. for 161,346,357 is 1.
Thus, LCM of Fractions is 93111195.Finally, LCM of Fractions for 795/161, 677/346, 173/357 is 93111195.