Least Common Multiple of 24/80, 82/60, 718/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/80, 82/60, 718/534 quickly i.e. 176628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/80, 82/60, 718/534 is 176628.

LCM(24/80, 82/60, 718/534) = 176628

LCM of 24/80, 82/60, 718/534

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 24/80,82/60,718/534

Given numbers are 24/80,82/60,718/534

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 24,82,718

Least Common Multiple of Numerators i.e. LCM of 24,82,718 is 353256.

GCF of Denominators means GCF of 80,60,534 as per the given fractions.

GCF of 80,60,534 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,82,718

LCM of Fractions 24/80,82/60,718/534 is 176628

2 24, 82, 718
12, 41, 359

∴ So the LCM of the given numbers is 2 x 12 x 41 x 359 = 353256

Least Common Multiple of 24,82,718 with GCF Formula

Least Common Multiple of 24,82,718 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 24,82,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,82,718) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(24,82,718) x common factors =2 x 2 = 4

LCM(24,82,718) = ( 24 × 82 × 718 ) / 4

LCM(24,82,718) = 1413024 / 4

LCM(24,82,718) = 353256


Lets's calculate GCF of 80,60,534

2 80, 60, 534
40, 30, 267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 353256/2

Therefore the LCM of Fractions 24/80,82/60,718/534 is 176628

Greatest Common Factor of 80,60,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,60,534 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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 80,60,534 . The biggest common factor number is the GCF number.
So the greatest common factor 80,60,534 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 24/80, 82/60, 718/534

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 24/80, 82/60, 718/534?

Answer: LCM of Numerators as per given numbers 24/80, 82/60, 718/534 is

LCM of Numerators i.e. for 24,82,718 is 353256

GCF of denominators i.e. for 80,60,534 is 2.

Thus, LCM of Fractions is 176628.Finally, LCM of Fractions for 24/80, 82/60, 718/534 is 176628.