Least Common Multiple of 48/336, 27/274, 549/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/336, 27/274, 549/534 quickly i.e. 13176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/336, 27/274, 549/534 is 13176.

LCM(48/336, 27/274, 549/534) = 13176

LCM of 48/336, 27/274, 549/534

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 48/336,27/274,549/534

Given numbers are 48/336,27/274,549/534

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 48,27,549

Least Common Multiple of Numerators i.e. LCM of 48,27,549 is 26352.

GCF of Denominators means GCF of 336,274,534 as per the given fractions.

GCF of 336,274,534 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,27,549

LCM of Fractions 48/336,27/274,549/534 is 13176

3 48, 27, 549
3 16, 9, 183
16, 3, 61

∴ So the LCM of the given numbers is 3 x 3 x 16 x 3 x 61 = 26352

Least Common Multiple of 48,27,549 with GCF Formula

Least Common Multiple of 48,27,549 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 48,27,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,27,549) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(48,27,549) x common factors =3 x 9 = 27

LCM(48,27,549) = ( 48 × 27 × 549 ) / 27

LCM(48,27,549) = 711504 / 27

LCM(48,27,549) = 26352


Lets's calculate GCF of 336,274,534

2 336, 274, 534
168, 137, 267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26352/2

Therefore the LCM of Fractions 48/336,27/274,549/534 is 13176

Greatest Common Factor of 336,274,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,274,534 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

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 336,274,534 . The biggest common factor number is the GCF number.
So the greatest common factor 336,274,534 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 48/336, 27/274, 549/534

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 48/336, 27/274, 549/534?

Answer: LCM of Numerators as per given numbers 48/336, 27/274, 549/534 is

LCM of Numerators i.e. for 48,27,549 is 26352

GCF of denominators i.e. for 336,274,534 is 2.

Thus, LCM of Fractions is 13176.Finally, LCM of Fractions for 48/336, 27/274, 549/534 is 13176.