Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/661, 75/211, 77/243 quickly i.e. 23100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/661, 75/211, 77/243 is 23100.
LCM(4/661, 75/211, 77/243) = 23100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/661,75/211,77/243
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 4,75,77
Least Common Multiple of Numerators i.e. LCM of 4,75,77 is 23100.
GCF of Denominators means GCF of 661,211,243 as per the given fractions.
GCF of 661,211,243 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,75,77
Given numbers has no common factors except 1. So, there LCM is their product i.e 23100
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 4,75,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,75,77) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4,75,77) x common factors =1 x 1 = 1
LCM(4,75,77) = ( 4 × 75 × 77 ) / 1
LCM(4,75,77) = 23100 / 1
LCM(4,75,77) = 23100
Lets's calculate GCF of 661,211,243
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23100/1
Therefore the LCM of Fractions 4/661,75/211,77/243 is 23100
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Greatest Common Factor
We found the factors 661,211,243 . The biggest common factor number is the GCF number.
So the greatest common factor 661,211,243 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 4/661, 75/211, 77/243?
Answer: LCM of Numerators as per given numbers 4/661, 75/211, 77/243 is
LCM of Numerators i.e. for 4,75,77 is 23100
GCF of denominators i.e. for 661,211,243 is 1.
Thus, LCM of Fractions is 23100.Finally, LCM of Fractions for 4/661, 75/211, 77/243 is 23100.