Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/978, 539/312, 597/150 quickly i.e. 18985197/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/978, 539/312, 597/150 is 18985197/6.
LCM(59/978, 539/312, 597/150) = 18985197/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/978,539/312,597/150
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 59,539,597
Least Common Multiple of Numerators i.e. LCM of 59,539,597 is 18985197.
GCF of Denominators means GCF of 978,312,150 as per the given fractions.
GCF of 978,312,150 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,539,597
Given numbers has no common factors except 1. So, there LCM is their product i.e 18985197
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 59,539,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,539,597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,539,597) x common factors =1 x 1 = 1
LCM(59,539,597) = ( 59 × 539 × 597 ) / 1
LCM(59,539,597) = 18985197 / 1
LCM(59,539,597) = 18985197
Lets's calculate GCF of 978,312,150
2 | 978, 312, 150 |
3 | 489, 156, 75 |
163, 52, 25 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18985197/6
Therefore the LCM of Fractions 59/978,539/312,597/150 is 18985197/6
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 978,312,150 . The biggest common factor number is the GCF number.
So the greatest common factor 978,312,150 is 6.
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 59/978, 539/312, 597/150?
Answer: LCM of Numerators as per given numbers 59/978, 539/312, 597/150 is
LCM of Numerators i.e. for 59,539,597 is 18985197
GCF of denominators i.e. for 978,312,150 is 6.
Thus, LCM of Fractions is 18985197/6.Finally, LCM of Fractions for 59/978, 539/312, 597/150 is 18985197/6.