Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/978, 961/669, 164/380 quickly i.e. 9298636 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, 961/669, 164/380 is 9298636.
LCM(59/978, 961/669, 164/380) = 9298636
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/978,961/669,164/380
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 59,961,164
Least Common Multiple of Numerators i.e. LCM of 59,961,164 is 9298636.
GCF of Denominators means GCF of 978,669,380 as per the given fractions.
GCF of 978,669,380 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,961,164
Given numbers has no common factors except 1. So, there LCM is their product i.e 9298636
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 59,961,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,961,164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,961,164) x common factors =1 x 1 = 1
LCM(59,961,164) = ( 59 × 961 × 164 ) / 1
LCM(59,961,164) = 9298636 / 1
LCM(59,961,164) = 9298636
Lets's calculate GCF of 978,669,380
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9298636/1
Therefore the LCM of Fractions 59/978,961/669,164/380 is 9298636
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 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 978,669,380 . The biggest common factor number is the GCF number.
So the greatest common factor 978,669,380 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 59/978, 961/669, 164/380?
Answer: LCM of Numerators as per given numbers 59/978, 961/669, 164/380 is
LCM of Numerators i.e. for 59,961,164 is 9298636
GCF of denominators i.e. for 978,669,380 is 1.
Thus, LCM of Fractions is 9298636.Finally, LCM of Fractions for 59/978, 961/669, 164/380 is 9298636.