Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/292, 410/390, 364/194 quickly i.e. 410410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/292, 410/390, 364/194 is 410410.
LCM(11/292, 410/390, 364/194) = 410410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/292,410/390,364/194
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 11,410,364
Least Common Multiple of Numerators i.e. LCM of 11,410,364 is 820820.
GCF of Denominators means GCF of 292,390,194 as per the given fractions.
GCF of 292,390,194 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,410,364
2 | 11, 410, 364 |
11, 205, 182 |
∴ So the LCM of the given numbers is 2 x 11 x 205 x 182 = 820820
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 11,410,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,410,364) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(11,410,364) x common factors =1 x 2 = 2
LCM(11,410,364) = ( 11 × 410 × 364 ) / 2
LCM(11,410,364) = 1641640 / 2
LCM(11,410,364) = 820820
Lets's calculate GCF of 292,390,194
2 | 292, 390, 194 |
146, 195, 97 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 820820/2
Therefore the LCM of Fractions 11/292,410/390,364/194 is 410410
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Greatest Common Factor
We found the factors 292,390,194 . The biggest common factor number is the GCF number.
So the greatest common factor 292,390,194 is 2.
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 11/292, 410/390, 364/194?
Answer: LCM of Numerators as per given numbers 11/292, 410/390, 364/194 is
LCM of Numerators i.e. for 11,410,364 is 820820
GCF of denominators i.e. for 292,390,194 is 2.
Thus, LCM of Fractions is 410410.Finally, LCM of Fractions for 11/292, 410/390, 364/194 is 410410.