Least Common Multiple of 733/45, 223/1401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 733/45, 223/1401 quickly i.e. 163459/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 733/45, 223/1401 is 163459/3.

LCM(733/45, 223/1401) = 163459/3

LCM of 733/45, 223/1401

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 733/45,223/1401

Given numbers are 733/45,223/1401

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 733,223

Least Common Multiple of Numerators i.e. LCM of 733,223 is 163459.

GCF of Denominators means GCF of 45,1401 as per the given fractions.

GCF of 45,1401 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 733,223

LCM of Fractions 733/45,223/1401 is 163459/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 163459

Least Common Multiple of 733,223 with GCF Formula

Least Common Multiple of 733,223 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 733,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,223) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(733,223) x common factors =1 x 1 = 1

LCM(733,223) = ( 733 × 223 ) / 1

LCM(733,223) = 163459 / 1

LCM(733,223) = 163459


Lets's calculate GCF of 45,1401

3 45, 1401
15, 467

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163459/3

Therefore the LCM of Fractions 733/45,223/1401 is 163459/3

Greatest Common Factor of 45,1401 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,1401 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 1401

List of positive integer factors of 1401 that divides 1401 without a remainder.

1,3,467,1401

Greatest Common Factor

We found the factors 45,1401 . The biggest common factor number is the GCF number.
So the greatest common factor 45,1401 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 733/45, 223/1401

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 733/45, 223/1401?

Answer: LCM of Numerators as per given numbers 733/45, 223/1401 is

LCM of Numerators i.e. for 733,223 is 163459

GCF of denominators i.e. for 45,1401 is 3.

Thus, LCM of Fractions is 163459/3.Finally, LCM of Fractions for 733/45, 223/1401 is 163459/3.