Least Common Multiple of 16/54, 927/68, 179/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 16/54, 927/68, 179/506 quickly i.e. 1327464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/54, 927/68, 179/506 is 1327464.

LCM(16/54, 927/68, 179/506) = 1327464

LCM of 16/54, 927/68, 179/506

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 16/54,927/68,179/506

Given numbers are 16/54,927/68,179/506

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 16,927,179

Least Common Multiple of Numerators i.e. LCM of 16,927,179 is 2654928.

GCF of Denominators means GCF of 54,68,506 as per the given fractions.

GCF of 54,68,506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,927,179

LCM of Fractions 16/54,927/68,179/506 is 1327464

Given numbers has no common factors except 1. So, there LCM is their product i.e 2654928

Least Common Multiple of 16,927,179 with GCF Formula

Least Common Multiple of 16,927,179 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 16,927,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,927,179) = 1

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

GCF(16,927,179) x common factors =1 x 1 = 1

LCM(16,927,179) = ( 16 × 927 × 179 ) / 1

LCM(16,927,179) = 2654928 / 1

LCM(16,927,179) = 2654928


Lets's calculate GCF of 54,68,506

2 54, 68, 506
27, 34, 253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2654928/2

Therefore the LCM of Fractions 16/54,927/68,179/506 is 1327464

Greatest Common Factor of 54,68,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,68,506 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 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 54,68,506 . The biggest common factor number is the GCF number.
So the greatest common factor 54,68,506 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 16/54, 927/68, 179/506

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 16/54, 927/68, 179/506?

Answer: LCM of Numerators as per given numbers 16/54, 927/68, 179/506 is

LCM of Numerators i.e. for 16,927,179 is 2654928

GCF of denominators i.e. for 54,68,506 is 2.

Thus, LCM of Fractions is 1327464.Finally, LCM of Fractions for 16/54, 927/68, 179/506 is 1327464.