Least Common Multiple of 365/832, 743/362
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 365/832, 743/362 quickly i.e. 271195/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 365/832, 743/362 is 271195/2.
LCM(365/832, 743/362) = 271195/2
LCM of 365/832, 743/362
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 365/832,743/362
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 365,743
Least Common Multiple of Numerators i.e. LCM of 365,743 is 271195.
GCF of Denominators means GCF of 832,362 as per the given fractions.
GCF of 832,362 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 365,743
LCM of Fractions 365/832,743/362 is 271195/2
Given numbers has no common factors except 1. So, there LCM is their product i.e 271195
Least Common Multiple of 365,743 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 365,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,743) x common factors =1 x 1 = 1
LCM(365,743) = ( 365 × 743 ) / 1
LCM(365,743) = 271195 / 1
LCM(365,743) = 271195
Lets's calculate GCF of 832,362
| 2 | 832, 362 |
| 416, 181 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271195/2
Therefore the LCM of Fractions 365/832,743/362 is 271195/2
