Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 982/20, 737/60, 212/65 quickly i.e. 76715804/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 982/20, 737/60, 212/65 is 76715804/5.
LCM(982/20, 737/60, 212/65) = 76715804/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 982/20,737/60,212/65
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 982,737,212
Least Common Multiple of Numerators i.e. LCM of 982,737,212 is 76715804.
GCF of Denominators means GCF of 20,60,65 as per the given fractions.
GCF of 20,60,65 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 982,737,212
2 | 982, 737, 212 |
491, 737, 106 |
∴ So the LCM of the given numbers is 2 x 491 x 737 x 106 = 76715804
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 982,737,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,737,212) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(982,737,212) x common factors =1 x 2 = 2
LCM(982,737,212) = ( 982 × 737 × 212 ) / 2
LCM(982,737,212) = 153431608 / 2
LCM(982,737,212) = 76715804
Lets's calculate GCF of 20,60,65
5 | 20, 60, 65 |
4, 12, 13 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76715804/5
Therefore the LCM of Fractions 982/20,737/60,212/65 is 76715804/5
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Greatest Common Factor
We found the factors 20,60,65 . The biggest common factor number is the GCF number.
So the greatest common factor 20,60,65 is 5.
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 982/20, 737/60, 212/65?
Answer: LCM of Numerators as per given numbers 982/20, 737/60, 212/65 is
LCM of Numerators i.e. for 982,737,212 is 76715804
GCF of denominators i.e. for 20,60,65 is 5.
Thus, LCM of Fractions is 76715804/5.Finally, LCM of Fractions for 982/20, 737/60, 212/65 is 76715804/5.