Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 350/21, 929/2578 quickly i.e. 325150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 350/21, 929/2578 is 325150.
LCM(350/21, 929/2578) = 325150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 350/21,929/2578
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 350,929
Least Common Multiple of Numerators i.e. LCM of 350,929 is 325150.
GCF of Denominators means GCF of 21,2578 as per the given fractions.
GCF of 21,2578 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 350,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 325150
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 350,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(350,929) x common factors =1 x 1 = 1
LCM(350,929) = ( 350 × 929 ) / 1
LCM(350,929) = 325150 / 1
LCM(350,929) = 325150
Lets's calculate GCF of 21,2578
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325150/1
Therefore the LCM of Fractions 350/21,929/2578 is 325150
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 2578
List of positive integer factors of 2578 that divides 2578 without a remainder.
1,2,1289,2578
Greatest Common Factor
We found the factors 21,2578 . The biggest common factor number is the GCF number.
So the greatest common factor 21,2578 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 350/21, 929/2578?
Answer: LCM of Numerators as per given numbers 350/21, 929/2578 is
LCM of Numerators i.e. for 350,929 is 325150
GCF of denominators i.e. for 21,2578 is 1.
Thus, LCM of Fractions is 325150.Finally, LCM of Fractions for 350/21, 929/2578 is 325150.