Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/596, 125/786, 739/511 quickly i.e. 1108500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/596, 125/786, 739/511 is 1108500.
LCM(60/596, 125/786, 739/511) = 1108500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/596,125/786,739/511
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 60,125,739
Least Common Multiple of Numerators i.e. LCM of 60,125,739 is 1108500.
GCF of Denominators means GCF of 596,786,511 as per the given fractions.
GCF of 596,786,511 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,125,739
5 | 60, 125, 739 |
12, 25, 739 |
∴ So the LCM of the given numbers is 5 x 12 x 25 x 739 = 1108500
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 60,125,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,125,739) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(60,125,739) x common factors =1 x 5 = 5
LCM(60,125,739) = ( 60 × 125 × 739 ) / 5
LCM(60,125,739) = 5542500 / 5
LCM(60,125,739) = 1108500
Lets's calculate GCF of 596,786,511
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1108500/1
Therefore the LCM of Fractions 60/596,125/786,739/511 is 1108500
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Greatest Common Factor
We found the factors 596,786,511 . The biggest common factor number is the GCF number.
So the greatest common factor 596,786,511 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 60/596, 125/786, 739/511?
Answer: LCM of Numerators as per given numbers 60/596, 125/786, 739/511 is
LCM of Numerators i.e. for 60,125,739 is 1108500
GCF of denominators i.e. for 596,786,511 is 1.
Thus, LCM of Fractions is 1108500.Finally, LCM of Fractions for 60/596, 125/786, 739/511 is 1108500.