Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 545/95, 847/78, 141/723 quickly i.e. 65087715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 545/95, 847/78, 141/723 is 65087715.
LCM(545/95, 847/78, 141/723) = 65087715
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 545/95,847/78,141/723
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 545,847,141
Least Common Multiple of Numerators i.e. LCM of 545,847,141 is 65087715.
GCF of Denominators means GCF of 95,78,723 as per the given fractions.
GCF of 95,78,723 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 545,847,141
Given numbers has no common factors except 1. So, there LCM is their product i.e 65087715
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 545,847,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,847,141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(545,847,141) x common factors =1 x 1 = 1
LCM(545,847,141) = ( 545 × 847 × 141 ) / 1
LCM(545,847,141) = 65087715 / 1
LCM(545,847,141) = 65087715
Lets's calculate GCF of 95,78,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65087715/1
Therefore the LCM of Fractions 545/95,847/78,141/723 is 65087715
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Greatest Common Factor
We found the factors 95,78,723 . The biggest common factor number is the GCF number.
So the greatest common factor 95,78,723 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 545/95, 847/78, 141/723?
Answer: LCM of Numerators as per given numbers 545/95, 847/78, 141/723 is
LCM of Numerators i.e. for 545,847,141 is 65087715
GCF of denominators i.e. for 95,78,723 is 1.
Thus, LCM of Fractions is 65087715.Finally, LCM of Fractions for 545/95, 847/78, 141/723 is 65087715.