Least Common Multiple of 557/57, 539/16, 994/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 557/57, 539/16, 994/402 quickly i.e. 42631666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 557/57, 539/16, 994/402 is 42631666.

LCM(557/57, 539/16, 994/402) = 42631666

LCM of 557/57, 539/16, 994/402

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 557/57,539/16,994/402

Given numbers are 557/57,539/16,994/402

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 557,539,994

Least Common Multiple of Numerators i.e. LCM of 557,539,994 is 42631666.

GCF of Denominators means GCF of 57,16,402 as per the given fractions.

GCF of 57,16,402 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 557,539,994

LCM of Fractions 557/57,539/16,994/402 is 42631666

7 557, 539, 994
557, 77, 142

∴ So the LCM of the given numbers is 7 x 557 x 77 x 142 = 42631666

Least Common Multiple of 557,539,994 with GCF Formula

Least Common Multiple of 557,539,994 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 557,539,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,539,994) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(557,539,994) x common factors =1 x 7 = 7

LCM(557,539,994) = ( 557 × 539 × 994 ) / 7

LCM(557,539,994) = 298421662 / 7

LCM(557,539,994) = 42631666


Lets's calculate GCF of 57,16,402

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42631666/1

Therefore the LCM of Fractions 557/57,539/16,994/402 is 42631666

Greatest Common Factor of 57,16,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,16,402 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 16

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

1,2,4,8,16

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 57,16,402 . The biggest common factor number is the GCF number.
So the greatest common factor 57,16,402 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 557/57, 539/16, 994/402

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 557/57, 539/16, 994/402?

Answer: LCM of Numerators as per given numbers 557/57, 539/16, 994/402 is

LCM of Numerators i.e. for 557,539,994 is 42631666

GCF of denominators i.e. for 57,16,402 is 1.

Thus, LCM of Fractions is 42631666.Finally, LCM of Fractions for 557/57, 539/16, 994/402 is 42631666.