Least Common Multiple of 28/27, 41/486, 921/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 28/27, 41/486, 921/182 quickly i.e. 1057308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/27, 41/486, 921/182 is 1057308.

LCM(28/27, 41/486, 921/182) = 1057308

LCM of 28/27, 41/486, 921/182

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 28/27,41/486,921/182

Given numbers are 28/27,41/486,921/182

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 28,41,921

Least Common Multiple of Numerators i.e. LCM of 28,41,921 is 1057308.

GCF of Denominators means GCF of 27,486,182 as per the given fractions.

GCF of 27,486,182 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,41,921

LCM of Fractions 28/27,41/486,921/182 is 1057308

Given numbers has no common factors except 1. So, there LCM is their product i.e 1057308

Least Common Multiple of 28,41,921 with GCF Formula

Least Common Multiple of 28,41,921 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 28,41,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,41,921) = 1

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

GCF(28,41,921) x common factors =1 x 1 = 1

LCM(28,41,921) = ( 28 × 41 × 921 ) / 1

LCM(28,41,921) = 1057308 / 1

LCM(28,41,921) = 1057308


Lets's calculate GCF of 27,486,182

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1057308/1

Therefore the LCM of Fractions 28/27,41/486,921/182 is 1057308

Greatest Common Factor of 27,486,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,486,182 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 27,486,182 . The biggest common factor number is the GCF number.
So the greatest common factor 27,486,182 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 28/27, 41/486, 921/182

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 28/27, 41/486, 921/182?

Answer: LCM of Numerators as per given numbers 28/27, 41/486, 921/182 is

LCM of Numerators i.e. for 28,41,921 is 1057308

GCF of denominators i.e. for 27,486,182 is 1.

Thus, LCM of Fractions is 1057308.Finally, LCM of Fractions for 28/27, 41/486, 921/182 is 1057308.