Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/194, 985/211, 409/376 quickly i.e. 26589090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/194, 985/211, 409/376 is 26589090.
LCM(66/194, 985/211, 409/376) = 26589090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/194,985/211,409/376
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 66,985,409
Least Common Multiple of Numerators i.e. LCM of 66,985,409 is 26589090.
GCF of Denominators means GCF of 194,211,376 as per the given fractions.
GCF of 194,211,376 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,985,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 26589090
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 66,985,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,985,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,985,409) x common factors =1 x 1 = 1
LCM(66,985,409) = ( 66 × 985 × 409 ) / 1
LCM(66,985,409) = 26589090 / 1
LCM(66,985,409) = 26589090
Lets's calculate GCF of 194,211,376
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26589090/1
Therefore the LCM of Fractions 66/194,985/211,409/376 is 26589090
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 194,211,376 . The biggest common factor number is the GCF number.
So the greatest common factor 194,211,376 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 66/194, 985/211, 409/376?
Answer: LCM of Numerators as per given numbers 66/194, 985/211, 409/376 is
LCM of Numerators i.e. for 66,985,409 is 26589090
GCF of denominators i.e. for 194,211,376 is 1.
Thus, LCM of Fractions is 26589090.Finally, LCM of Fractions for 66/194, 985/211, 409/376 is 26589090.