Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/63, 80/997, 75/832 quickly i.e. 1200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/63, 80/997, 75/832 is 1200.
LCM(3/63, 80/997, 75/832) = 1200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/63,80/997,75/832
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 3,80,75
Least Common Multiple of Numerators i.e. LCM of 3,80,75 is 1200.
GCF of Denominators means GCF of 63,997,832 as per the given fractions.
GCF of 63,997,832 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,80,75
3 | 3, 80, 75 |
5 | 1, 80, 25 |
1, 16, 5 |
∴ So the LCM of the given numbers is 3 x 5 x 1 x 16 x 5 = 1200
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 3,80,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,80,75) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(3,80,75) x common factors =1 x 15 = 15
LCM(3,80,75) = ( 3 × 80 × 75 ) / 15
LCM(3,80,75) = 18000 / 15
LCM(3,80,75) = 1200
Lets's calculate GCF of 63,997,832
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1200/1
Therefore the LCM of Fractions 3/63,80/997,75/832 is 1200
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 63,997,832 . The biggest common factor number is the GCF number.
So the greatest common factor 63,997,832 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 3/63, 80/997, 75/832?
Answer: LCM of Numerators as per given numbers 3/63, 80/997, 75/832 is
LCM of Numerators i.e. for 3,80,75 is 1200
GCF of denominators i.e. for 63,997,832 is 1.
Thus, LCM of Fractions is 1200.Finally, LCM of Fractions for 3/63, 80/997, 75/832 is 1200.