Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 966/37, 988/6019 quickly i.e. 477204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 966/37, 988/6019 is 477204.
LCM(966/37, 988/6019) = 477204
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 966/37,988/6019
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 966,988
Least Common Multiple of Numerators i.e. LCM of 966,988 is 477204.
GCF of Denominators means GCF of 37,6019 as per the given fractions.
GCF of 37,6019 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 966,988
2 | 966, 988 |
483, 494 |
∴ So the LCM of the given numbers is 2 x 483 x 494 = 477204
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 966,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,988) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(966,988) x common factors =2 x 1 = 2
LCM(966,988) = ( 966 × 988 ) / 2
LCM(966,988) = 954408 / 2
LCM(966,988) = 477204
Lets's calculate GCF of 37,6019
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 477204/1
Therefore the LCM of Fractions 966/37,988/6019 is 477204
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 6019
List of positive integer factors of 6019 that divides 6019 without a remainder.
1,13,463,6019
Greatest Common Factor
We found the factors 37,6019 . The biggest common factor number is the GCF number.
So the greatest common factor 37,6019 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 966/37, 988/6019?
Answer: LCM of Numerators as per given numbers 966/37, 988/6019 is
LCM of Numerators i.e. for 966,988 is 477204
GCF of denominators i.e. for 37,6019 is 1.
Thus, LCM of Fractions is 477204.Finally, LCM of Fractions for 966/37, 988/6019 is 477204.