Least Common Multiple of 22/51, 37/85, 89/852
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/51, 37/85, 89/852 quickly i.e. 72446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/51, 37/85, 89/852 is 72446.
LCM(22/51, 37/85, 89/852) = 72446
LCM of 22/51, 37/85, 89/852
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/51,37/85,89/852
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 22,37,89
Least Common Multiple of Numerators i.e. LCM of 22,37,89 is 72446.
GCF of Denominators means GCF of 51,85,852 as per the given fractions.
GCF of 51,85,852 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,37,89
LCM of Fractions 22/51,37/85,89/852 is 72446
Given numbers has no common factors except 1. So, there LCM is their product i.e 72446
Least Common Multiple of 22,37,89 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 22,37,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,37,89) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,37,89) x common factors =1 x 1 = 1
LCM(22,37,89) = ( 22 × 37 × 89 ) / 1
LCM(22,37,89) = 72446 / 1
LCM(22,37,89) = 72446
Lets's calculate GCF of 51,85,852
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72446/1
Therefore the LCM of Fractions 22/51,37/85,89/852 is 72446