Least Common Multiple of 273/62, 252/16, 182/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 273/62, 252/16, 182/532 quickly i.e. 1638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 273/62, 252/16, 182/532 is 1638.

LCM(273/62, 252/16, 182/532) = 1638

LCM of 273/62, 252/16, 182/532

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 273/62,252/16,182/532

Given numbers are 273/62,252/16,182/532

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 273,252,182

Least Common Multiple of Numerators i.e. LCM of 273,252,182 is 3276.

GCF of Denominators means GCF of 62,16,532 as per the given fractions.

GCF of 62,16,532 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 273,252,182

LCM of Fractions 273/62,252/16,182/532 is 1638

2 273, 252, 182
3 273, 126, 91
7 91, 42, 91
13 13, 6, 13
1, 6, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 1 x 6 x 1 = 3276

Least Common Multiple of 273,252,182 with GCF Formula

Least Common Multiple of 273,252,182 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 273,252,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,252,182) = 7

common factors(in case of two or more numbers have common factors) = 546

GCF(273,252,182) x common factors =7 x 546 = 3822

LCM(273,252,182) = ( 273 × 252 × 182 ) / 3822

LCM(273,252,182) = 12520872 / 3822

LCM(273,252,182) = 3276


Lets's calculate GCF of 62,16,532

2 62, 16, 532
31, 8, 266

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3276/2

Therefore the LCM of Fractions 273/62,252/16,182/532 is 1638

Greatest Common Factor of 62,16,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,16,532 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 62,16,532 . The biggest common factor number is the GCF number.
So the greatest common factor 62,16,532 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 273/62, 252/16, 182/532

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 273/62, 252/16, 182/532?

Answer: LCM of Numerators as per given numbers 273/62, 252/16, 182/532 is

LCM of Numerators i.e. for 273,252,182 is 3276

GCF of denominators i.e. for 62,16,532 is 2.

Thus, LCM of Fractions is 1638.Finally, LCM of Fractions for 273/62, 252/16, 182/532 is 1638.