Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 334/92, 291/1424 quickly i.e. 97194/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 334/92, 291/1424 is 97194/4.
LCM(334/92, 291/1424) = 97194/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 334/92,291/1424
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 334,291
Least Common Multiple of Numerators i.e. LCM of 334,291 is 97194.
GCF of Denominators means GCF of 92,1424 as per the given fractions.
GCF of 92,1424 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 334,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 97194
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 334,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,291) x common factors =1 x 1 = 1
LCM(334,291) = ( 334 × 291 ) / 1
LCM(334,291) = 97194 / 1
LCM(334,291) = 97194
Lets's calculate GCF of 92,1424
2 | 92, 1424 |
2 | 46, 712 |
23, 356 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97194/4
Therefore the LCM of Fractions 334/92,291/1424 is 97194/4
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 1424
List of positive integer factors of 1424 that divides 1424 without a remainder.
1,2,4,8,16,89,178,356,712,1424
Greatest Common Factor
We found the factors 92,1424 . The biggest common factor number is the GCF number.
So the greatest common factor 92,1424 is 4.
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 334/92, 291/1424?
Answer: LCM of Numerators as per given numbers 334/92, 291/1424 is
LCM of Numerators i.e. for 334,291 is 97194
GCF of denominators i.e. for 92,1424 is 4.
Thus, LCM of Fractions is 97194/4.Finally, LCM of Fractions for 334/92, 291/1424 is 97194/4.