Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 857/85, 672/75, 793/345 quickly i.e. 456691872/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 857/85, 672/75, 793/345 is 456691872/5.
LCM(857/85, 672/75, 793/345) = 456691872/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 857/85,672/75,793/345
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 857,672,793
Least Common Multiple of Numerators i.e. LCM of 857,672,793 is 456691872.
GCF of Denominators means GCF of 85,75,345 as per the given fractions.
GCF of 85,75,345 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 857,672,793
Given numbers has no common factors except 1. So, there LCM is their product i.e 456691872
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 857,672,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,672,793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,672,793) x common factors =1 x 1 = 1
LCM(857,672,793) = ( 857 × 672 × 793 ) / 1
LCM(857,672,793) = 456691872 / 1
LCM(857,672,793) = 456691872
Lets's calculate GCF of 85,75,345
5 | 85, 75, 345 |
17, 15, 69 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 456691872/5
Therefore the LCM of Fractions 857/85,672/75,793/345 is 456691872/5
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Greatest Common Factor
We found the factors 85,75,345 . The biggest common factor number is the GCF number.
So the greatest common factor 85,75,345 is 5.
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 857/85, 672/75, 793/345?
Answer: LCM of Numerators as per given numbers 857/85, 672/75, 793/345 is
LCM of Numerators i.e. for 857,672,793 is 456691872
GCF of denominators i.e. for 85,75,345 is 5.
Thus, LCM of Fractions is 456691872/5.Finally, LCM of Fractions for 857/85, 672/75, 793/345 is 456691872/5.