Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/353, 34/398, 146/941 quickly i.e. 81906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/353, 34/398, 146/941 is 81906.
LCM(66/353, 34/398, 146/941) = 81906
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/353,34/398,146/941
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 66,34,146
Least Common Multiple of Numerators i.e. LCM of 66,34,146 is 81906.
GCF of Denominators means GCF of 353,398,941 as per the given fractions.
GCF of 353,398,941 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,34,146
2 | 66, 34, 146 |
33, 17, 73 |
∴ So the LCM of the given numbers is 2 x 33 x 17 x 73 = 81906
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 66,34,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,34,146) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(66,34,146) x common factors =2 x 2 = 4
LCM(66,34,146) = ( 66 × 34 × 146 ) / 4
LCM(66,34,146) = 327624 / 4
LCM(66,34,146) = 81906
Lets's calculate GCF of 353,398,941
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81906/1
Therefore the LCM of Fractions 66/353,34/398,146/941 is 81906
Factors of 353
List of positive integer factors of 353 that divides 353 without a remainder.
1,353
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Greatest Common Factor
We found the factors 353,398,941 . The biggest common factor number is the GCF number.
So the greatest common factor 353,398,941 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 66/353, 34/398, 146/941?
Answer: LCM of Numerators as per given numbers 66/353, 34/398, 146/941 is
LCM of Numerators i.e. for 66,34,146 is 81906
GCF of denominators i.e. for 353,398,941 is 1.
Thus, LCM of Fractions is 81906.Finally, LCM of Fractions for 66/353, 34/398, 146/941 is 81906.