Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 243/267, 7980/6998 quickly i.e. 646380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 243/267, 7980/6998 is 646380.
LCM(243/267, 7980/6998) = 646380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 243/267,7980/6998
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 243,7980
Least Common Multiple of Numerators i.e. LCM of 243,7980 is 646380.
GCF of Denominators means GCF of 267,6998 as per the given fractions.
GCF of 267,6998 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 243,7980
3 | 243, 7980 |
81, 2660 |
∴ So the LCM of the given numbers is 3 x 81 x 2660 = 646380
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 243,7980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,7980) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(243,7980) x common factors =3 x 1 = 3
LCM(243,7980) = ( 243 × 7980 ) / 3
LCM(243,7980) = 1939140 / 3
LCM(243,7980) = 646380
Lets's calculate GCF of 267,6998
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 646380/1
Therefore the LCM of Fractions 243/267,7980/6998 is 646380
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 6998
List of positive integer factors of 6998 that divides 6998 without a remainder.
1,2,3499,6998
Greatest Common Factor
We found the factors 267,6998 . The biggest common factor number is the GCF number.
So the greatest common factor 267,6998 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 243/267, 7980/6998?
Answer: LCM of Numerators as per given numbers 243/267, 7980/6998 is
LCM of Numerators i.e. for 243,7980 is 646380
GCF of denominators i.e. for 267,6998 is 1.
Thus, LCM of Fractions is 646380.Finally, LCM of Fractions for 243/267, 7980/6998 is 646380.