Least Common Multiple of 327/80, 739/2024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 327/80, 739/2024 quickly i.e. 241653/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 327/80, 739/2024 is 241653/8.

LCM(327/80, 739/2024) = 241653/8

LCM of 327/80, 739/2024

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 327/80,739/2024

Given numbers are 327/80,739/2024

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 327,739

Least Common Multiple of Numerators i.e. LCM of 327,739 is 241653.

GCF of Denominators means GCF of 80,2024 as per the given fractions.

GCF of 80,2024 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 327,739

LCM of Fractions 327/80,739/2024 is 241653/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 241653

Least Common Multiple of 327,739 with GCF Formula

Least Common Multiple of 327,739 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 327,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,739) = 1

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

GCF(327,739) x common factors =1 x 1 = 1

LCM(327,739) = ( 327 × 739 ) / 1

LCM(327,739) = 241653 / 1

LCM(327,739) = 241653


Lets's calculate GCF of 80,2024

2 80, 2024
2 40, 1012
2 20, 506
10, 253

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241653/8

Therefore the LCM of Fractions 327/80,739/2024 is 241653/8

Greatest Common Factor of 80,2024 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,2024 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 2024

List of positive integer factors of 2024 that divides 2024 without a remainder.

1,2,4,8,11,22,23,44,46,88,92,184,253,506,1012,2024

Greatest Common Factor

We found the factors 80,2024 . The biggest common factor number is the GCF number.
So the greatest common factor 80,2024 is 8.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 327/80, 739/2024

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 327/80, 739/2024?

Answer: LCM of Numerators as per given numbers 327/80, 739/2024 is

LCM of Numerators i.e. for 327,739 is 241653

GCF of denominators i.e. for 80,2024 is 8.

Thus, LCM of Fractions is 241653/8.Finally, LCM of Fractions for 327/80, 739/2024 is 241653/8.