Least Common Multiple of 972/234, 653/365
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 972/234, 653/365 quickly i.e. 634716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 972/234, 653/365 is 634716.
LCM(972/234, 653/365) = 634716
LCM of 972/234, 653/365
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 972/234,653/365
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 972,653
Least Common Multiple of Numerators i.e. LCM of 972,653 is 634716.
GCF of Denominators means GCF of 234,365 as per the given fractions.
GCF of 234,365 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 972,653
LCM of Fractions 972/234,653/365 is 634716
Given numbers has no common factors except 1. So, there LCM is their product i.e 634716
Least Common Multiple of 972,653 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 972,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(972,653) x common factors =1 x 1 = 1
LCM(972,653) = ( 972 × 653 ) / 1
LCM(972,653) = 634716 / 1
LCM(972,653) = 634716
Lets's calculate GCF of 234,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 634716/1
Therefore the LCM of Fractions 972/234,653/365 is 634716