Least Common Multiple of 83/54, 18/68, 344/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/54, 18/68, 344/392 quickly i.e. 128484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/54, 18/68, 344/392 is 128484.

LCM(83/54, 18/68, 344/392) = 128484

LCM of 83/54, 18/68, 344/392

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 83/54,18/68,344/392

Given numbers are 83/54,18/68,344/392

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 83,18,344

Least Common Multiple of Numerators i.e. LCM of 83,18,344 is 256968.

GCF of Denominators means GCF of 54,68,392 as per the given fractions.

GCF of 54,68,392 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,18,344

LCM of Fractions 83/54,18/68,344/392 is 128484

2 83, 18, 344
83, 9, 172

∴ So the LCM of the given numbers is 2 x 83 x 9 x 172 = 256968

Least Common Multiple of 83,18,344 with GCF Formula

Least Common Multiple of 83,18,344 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 83,18,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,18,344) = 1

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

GCF(83,18,344) x common factors =1 x 2 = 2

LCM(83,18,344) = ( 83 × 18 × 344 ) / 2

LCM(83,18,344) = 513936 / 2

LCM(83,18,344) = 256968


Lets's calculate GCF of 54,68,392

2 54, 68, 392
27, 34, 196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256968/2

Therefore the LCM of Fractions 83/54,18/68,344/392 is 128484

Greatest Common Factor of 54,68,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,68,392 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 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

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

Greatest Common Factor

We found the factors 54,68,392 . The biggest common factor number is the GCF number.
So the greatest common factor 54,68,392 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 83/54, 18/68, 344/392

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 83/54, 18/68, 344/392?

Answer: LCM of Numerators as per given numbers 83/54, 18/68, 344/392 is

LCM of Numerators i.e. for 83,18,344 is 256968

GCF of denominators i.e. for 54,68,392 is 2.

Thus, LCM of Fractions is 128484.Finally, LCM of Fractions for 83/54, 18/68, 344/392 is 128484.