Least Common Multiple of 241/782, 6989/7115
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 241/782, 6989/7115 quickly i.e. 6989 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 241/782, 6989/7115 is 6989.
LCM(241/782, 6989/7115) = 6989
LCM of 241/782, 6989/7115
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 241/782,6989/7115
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 241,6989
Least Common Multiple of Numerators i.e. LCM of 241,6989 is 6989.
GCF of Denominators means GCF of 782,7115 as per the given fractions.
GCF of 782,7115 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 241,6989
LCM of Fractions 241/782,6989/7115 is 6989
| 241 | 241, 6989 |
| 1, 29 |
∴ So the LCM of the given numbers is 241 x 1 x 29 = 6989
Least Common Multiple of 241,6989 with GCF Formula
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 241,6989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,6989) = 241
common factors(in case of two or more numbers have common factors) = 1
GCF(241,6989) x common factors =241 x 1 = 241
LCM(241,6989) = ( 241 × 6989 ) / 241
LCM(241,6989) = 1684349 / 241
LCM(241,6989) = 6989
Lets's calculate GCF of 782,7115
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6989/1
Therefore the LCM of Fractions 241/782,6989/7115 is 6989