Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/860, 97/747, 594/617 quickly i.e. 2708046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/860, 97/747, 594/617 is 2708046.
LCM(47/860, 97/747, 594/617) = 2708046
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/860,97/747,594/617
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 47,97,594
Least Common Multiple of Numerators i.e. LCM of 47,97,594 is 2708046.
GCF of Denominators means GCF of 860,747,617 as per the given fractions.
GCF of 860,747,617 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,97,594
Given numbers has no common factors except 1. So, there LCM is their product i.e 2708046
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 47,97,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,97,594) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,97,594) x common factors =1 x 1 = 1
LCM(47,97,594) = ( 47 × 97 × 594 ) / 1
LCM(47,97,594) = 2708046 / 1
LCM(47,97,594) = 2708046
Lets's calculate GCF of 860,747,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2708046/1
Therefore the LCM of Fractions 47/860,97/747,594/617 is 2708046
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Greatest Common Factor
We found the factors 860,747,617 . The biggest common factor number is the GCF number.
So the greatest common factor 860,747,617 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 47/860, 97/747, 594/617?
Answer: LCM of Numerators as per given numbers 47/860, 97/747, 594/617 is
LCM of Numerators i.e. for 47,97,594 is 2708046
GCF of denominators i.e. for 860,747,617 is 1.
Thus, LCM of Fractions is 2708046.Finally, LCM of Fractions for 47/860, 97/747, 594/617 is 2708046.