Least Common Multiple of 443/22, 456/7322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 443/22, 456/7322 quickly i.e. 101004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 443/22, 456/7322 is 101004.

LCM(443/22, 456/7322) = 101004

LCM of 443/22, 456/7322

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 443/22,456/7322

Given numbers are 443/22,456/7322

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 443,456

Least Common Multiple of Numerators i.e. LCM of 443,456 is 202008.

GCF of Denominators means GCF of 22,7322 as per the given fractions.

GCF of 22,7322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 443,456

LCM of Fractions 443/22,456/7322 is 101004

Given numbers has no common factors except 1. So, there LCM is their product i.e 202008

Least Common Multiple of 443,456 with GCF Formula

Least Common Multiple of 443,456 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 443,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(443,456) = 1

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

GCF(443,456) x common factors =1 x 1 = 1

LCM(443,456) = ( 443 × 456 ) / 1

LCM(443,456) = 202008 / 1

LCM(443,456) = 202008


Lets's calculate GCF of 22,7322

2 22, 7322
11, 3661

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202008/2

Therefore the LCM of Fractions 443/22,456/7322 is 101004

Greatest Common Factor of 22,7322 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,7322 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 7322

List of positive integer factors of 7322 that divides 7322 without a remainder.

1,2,7,14,523,1046,3661,7322

Greatest Common Factor

We found the factors 22,7322 . The biggest common factor number is the GCF number.
So the greatest common factor 22,7322 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 443/22, 456/7322

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 443/22, 456/7322?

Answer: LCM of Numerators as per given numbers 443/22, 456/7322 is

LCM of Numerators i.e. for 443,456 is 202008

GCF of denominators i.e. for 22,7322 is 2.

Thus, LCM of Fractions is 101004.Finally, LCM of Fractions for 443/22, 456/7322 is 101004.