Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/99, 24/97, 75/284 quickly i.e. 4200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/99, 24/97, 75/284 is 4200.
LCM(42/99, 24/97, 75/284) = 4200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/99,24/97,75/284
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 42,24,75
Least Common Multiple of Numerators i.e. LCM of 42,24,75 is 4200.
GCF of Denominators means GCF of 99,97,284 as per the given fractions.
GCF of 99,97,284 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,24,75
2 | 42, 24, 75 |
3 | 21, 12, 75 |
7, 4, 25 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 4 x 25 = 4200
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 42,24,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,24,75) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(42,24,75) x common factors =3 x 6 = 18
LCM(42,24,75) = ( 42 × 24 × 75 ) / 18
LCM(42,24,75) = 75600 / 18
LCM(42,24,75) = 4200
Lets's calculate GCF of 99,97,284
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4200/1
Therefore the LCM of Fractions 42/99,24/97,75/284 is 4200
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Greatest Common Factor
We found the factors 99,97,284 . The biggest common factor number is the GCF number.
So the greatest common factor 99,97,284 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 42/99, 24/97, 75/284?
Answer: LCM of Numerators as per given numbers 42/99, 24/97, 75/284 is
LCM of Numerators i.e. for 42,24,75 is 4200
GCF of denominators i.e. for 99,97,284 is 1.
Thus, LCM of Fractions is 4200.Finally, LCM of Fractions for 42/99, 24/97, 75/284 is 4200.