Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 290/34, 125/1298 quickly i.e. 3625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 290/34, 125/1298 is 3625.
LCM(290/34, 125/1298) = 3625
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 290/34,125/1298
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 290,125
Least Common Multiple of Numerators i.e. LCM of 290,125 is 7250.
GCF of Denominators means GCF of 34,1298 as per the given fractions.
GCF of 34,1298 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 290,125
5 | 290, 125 |
58, 25 |
∴ So the LCM of the given numbers is 5 x 58 x 25 = 7250
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 290,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,125) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(290,125) x common factors =5 x 1 = 5
LCM(290,125) = ( 290 × 125 ) / 5
LCM(290,125) = 36250 / 5
LCM(290,125) = 7250
Lets's calculate GCF of 34,1298
2 | 34, 1298 |
17, 649 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7250/2
Therefore the LCM of Fractions 290/34,125/1298 is 3625
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 1298
List of positive integer factors of 1298 that divides 1298 without a remainder.
1,2,11,22,59,118,649,1298
Greatest Common Factor
We found the factors 34,1298 . The biggest common factor number is the GCF number.
So the greatest common factor 34,1298 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 290/34, 125/1298?
Answer: LCM of Numerators as per given numbers 290/34, 125/1298 is
LCM of Numerators i.e. for 290,125 is 7250
GCF of denominators i.e. for 34,1298 is 2.
Thus, LCM of Fractions is 3625.Finally, LCM of Fractions for 290/34, 125/1298 is 3625.