Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 243/97, 480/1029 quickly i.e. 38880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 243/97, 480/1029 is 38880.
LCM(243/97, 480/1029) = 38880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 243/97,480/1029
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 243,480
Least Common Multiple of Numerators i.e. LCM of 243,480 is 38880.
GCF of Denominators means GCF of 97,1029 as per the given fractions.
GCF of 97,1029 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 243,480
3 | 243, 480 |
81, 160 |
∴ So the LCM of the given numbers is 3 x 81 x 160 = 38880
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 243,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,480) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(243,480) x common factors =3 x 1 = 3
LCM(243,480) = ( 243 × 480 ) / 3
LCM(243,480) = 116640 / 3
LCM(243,480) = 38880
Lets's calculate GCF of 97,1029
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38880/1
Therefore the LCM of Fractions 243/97,480/1029 is 38880
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 1029
List of positive integer factors of 1029 that divides 1029 without a remainder.
1,3,7,21,49,147,343,1029
Greatest Common Factor
We found the factors 97,1029 . The biggest common factor number is the GCF number.
So the greatest common factor 97,1029 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 243/97, 480/1029?
Answer: LCM of Numerators as per given numbers 243/97, 480/1029 is
LCM of Numerators i.e. for 243,480 is 38880
GCF of denominators i.e. for 97,1029 is 1.
Thus, LCM of Fractions is 38880.Finally, LCM of Fractions for 243/97, 480/1029 is 38880.