Least Common Multiple of 86/392, 54/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/392, 54/538 quickly i.e. 1161 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/392, 54/538 is 1161.

LCM(86/392, 54/538) = 1161

LCM of 86/392, 54/538

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 86/392,54/538

Given numbers are 86/392,54/538

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 86,54

Least Common Multiple of Numerators i.e. LCM of 86,54 is 2322.

GCF of Denominators means GCF of 392,538 as per the given fractions.

GCF of 392,538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,54

LCM of Fractions 86/392,54/538 is 1161

2 86, 54
43, 27

∴ So the LCM of the given numbers is 2 x 43 x 27 = 2322

Least Common Multiple of 86,54 with GCF Formula

Least Common Multiple of 86,54 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 86,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,54) = 2

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

GCF(86,54) x common factors =2 x 1 = 2

LCM(86,54) = ( 86 × 54 ) / 2

LCM(86,54) = 4644 / 2

LCM(86,54) = 2322


Lets's calculate GCF of 392,538

2 392, 538
196, 269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2322/2

Therefore the LCM of Fractions 86/392,54/538 is 1161

Greatest Common Factor of 392,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,538 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 392,538 . The biggest common factor number is the GCF number.
So the greatest common factor 392,538 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 86/392, 54/538

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 86/392, 54/538?

Answer: LCM of Numerators as per given numbers 86/392, 54/538 is

LCM of Numerators i.e. for 86,54 is 2322

GCF of denominators i.e. for 392,538 is 2.

Thus, LCM of Fractions is 1161.Finally, LCM of Fractions for 86/392, 54/538 is 1161.