Least Common Multiple of 1/41, 79/48, 465/74
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/41, 79/48, 465/74 quickly i.e. 36735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/41, 79/48, 465/74 is 36735.
LCM(1/41, 79/48, 465/74) = 36735
LCM of 1/41, 79/48, 465/74
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/41,79/48,465/74
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 1,79,465
Least Common Multiple of Numerators i.e. LCM of 1,79,465 is 36735.
GCF of Denominators means GCF of 41,48,74 as per the given fractions.
GCF of 41,48,74 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,79,465
LCM of Fractions 1/41,79/48,465/74 is 36735
Given numbers has no common factors except 1. So, there LCM is their product i.e 36735
Least Common Multiple of 1,79,465 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 1,79,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,79,465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,79,465) x common factors =1 x 1 = 1
LCM(1,79,465) = ( 1 × 79 × 465 ) / 1
LCM(1,79,465) = 36735 / 1
LCM(1,79,465) = 36735
Lets's calculate GCF of 41,48,74
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36735/1
Therefore the LCM of Fractions 1/41,79/48,465/74 is 36735