Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 325/46, 427/98, 292/374 quickly i.e. 20261150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 325/46, 427/98, 292/374 is 20261150.
LCM(325/46, 427/98, 292/374) = 20261150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 325/46,427/98,292/374
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 325,427,292
Least Common Multiple of Numerators i.e. LCM of 325,427,292 is 40522300.
GCF of Denominators means GCF of 46,98,374 as per the given fractions.
GCF of 46,98,374 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 325,427,292
Given numbers has no common factors except 1. So, there LCM is their product i.e 40522300
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 325,427,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,427,292) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,427,292) x common factors =1 x 1 = 1
LCM(325,427,292) = ( 325 × 427 × 292 ) / 1
LCM(325,427,292) = 40522300 / 1
LCM(325,427,292) = 40522300
Lets's calculate GCF of 46,98,374
2 | 46, 98, 374 |
23, 49, 187 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40522300/2
Therefore the LCM of Fractions 325/46,427/98,292/374 is 20261150
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 46,98,374 . The biggest common factor number is the GCF number.
So the greatest common factor 46,98,374 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 325/46, 427/98, 292/374?
Answer: LCM of Numerators as per given numbers 325/46, 427/98, 292/374 is
LCM of Numerators i.e. for 325,427,292 is 40522300
GCF of denominators i.e. for 46,98,374 is 2.
Thus, LCM of Fractions is 20261150.Finally, LCM of Fractions for 325/46, 427/98, 292/374 is 20261150.