Least Common Multiple of 86/54, 80/885, 421/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 86/54, 80/885, 421/494 quickly i.e. 1448240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/54, 80/885, 421/494 is 1448240.

LCM(86/54, 80/885, 421/494) = 1448240

LCM of 86/54, 80/885, 421/494

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 86/54,80/885,421/494

Given numbers are 86/54,80/885,421/494

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 86,80,421

Least Common Multiple of Numerators i.e. LCM of 86,80,421 is 1448240.

GCF of Denominators means GCF of 54,885,494 as per the given fractions.

GCF of 54,885,494 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,80,421

LCM of Fractions 86/54,80/885,421/494 is 1448240

2 86, 80, 421
43, 40, 421

∴ So the LCM of the given numbers is 2 x 43 x 40 x 421 = 1448240

Least Common Multiple of 86,80,421 with GCF Formula

Least Common Multiple of 86,80,421 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 86,80,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,80,421) = 1

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

GCF(86,80,421) x common factors =1 x 2 = 2

LCM(86,80,421) = ( 86 × 80 × 421 ) / 2

LCM(86,80,421) = 2896480 / 2

LCM(86,80,421) = 1448240


Lets's calculate GCF of 54,885,494

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1448240/1

Therefore the LCM of Fractions 86/54,80/885,421/494 is 1448240

Greatest Common Factor of 54,885,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,885,494 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 54,885,494 . The biggest common factor number is the GCF number.
So the greatest common factor 54,885,494 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 86/54, 80/885, 421/494

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 86/54, 80/885, 421/494?

Answer: LCM of Numerators as per given numbers 86/54, 80/885, 421/494 is

LCM of Numerators i.e. for 86,80,421 is 1448240

GCF of denominators i.e. for 54,885,494 is 1.

Thus, LCM of Fractions is 1448240.Finally, LCM of Fractions for 86/54, 80/885, 421/494 is 1448240.