Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1630/813, 9389/978 quickly i.e. 15304070/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1630/813, 9389/978 is 15304070/3.
LCM(1630/813, 9389/978) = 15304070/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1630/813,9389/978
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 1630,9389
Least Common Multiple of Numerators i.e. LCM of 1630,9389 is 15304070.
GCF of Denominators means GCF of 813,978 as per the given fractions.
GCF of 813,978 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1630,9389
Given numbers has no common factors except 1. So, there LCM is their product i.e 15304070
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 1630,9389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1630,9389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1630,9389) x common factors =1 x 1 = 1
LCM(1630,9389) = ( 1630 × 9389 ) / 1
LCM(1630,9389) = 15304070 / 1
LCM(1630,9389) = 15304070
Lets's calculate GCF of 813,978
3 | 813, 978 |
271, 326 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15304070/3
Therefore the LCM of Fractions 1630/813,9389/978 is 15304070/3
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Greatest Common Factor
We found the factors 813,978 . The biggest common factor number is the GCF number.
So the greatest common factor 813,978 is 3.
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 1630/813, 9389/978?
Answer: LCM of Numerators as per given numbers 1630/813, 9389/978 is
LCM of Numerators i.e. for 1630,9389 is 15304070
GCF of denominators i.e. for 813,978 is 3.
Thus, LCM of Fractions is 15304070/3.Finally, LCM of Fractions for 1630/813, 9389/978 is 15304070/3.