Least Common Multiple of 493/14, 978/56, 821/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/14, 978/56, 821/331 quickly i.e. 395848434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/14, 978/56, 821/331 is 395848434.

LCM(493/14, 978/56, 821/331) = 395848434

LCM of 493/14, 978/56, 821/331

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 493/14,978/56,821/331

Given numbers are 493/14,978/56,821/331

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 493,978,821

Least Common Multiple of Numerators i.e. LCM of 493,978,821 is 395848434.

GCF of Denominators means GCF of 14,56,331 as per the given fractions.

GCF of 14,56,331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,978,821

LCM of Fractions 493/14,978/56,821/331 is 395848434

Given numbers has no common factors except 1. So, there LCM is their product i.e 395848434

Least Common Multiple of 493,978,821 with GCF Formula

Least Common Multiple of 493,978,821 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 493,978,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,978,821) = 1

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

GCF(493,978,821) x common factors =1 x 1 = 1

LCM(493,978,821) = ( 493 × 978 × 821 ) / 1

LCM(493,978,821) = 395848434 / 1

LCM(493,978,821) = 395848434


Lets's calculate GCF of 14,56,331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 395848434/1

Therefore the LCM of Fractions 493/14,978/56,821/331 is 395848434

Greatest Common Factor of 14,56,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,56,331 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 14,56,331 . The biggest common factor number is the GCF number.
So the greatest common factor 14,56,331 is 1.


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 493/14, 978/56, 821/331

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 493/14, 978/56, 821/331?

Answer: LCM of Numerators as per given numbers 493/14, 978/56, 821/331 is

LCM of Numerators i.e. for 493,978,821 is 395848434

GCF of denominators i.e. for 14,56,331 is 1.

Thus, LCM of Fractions is 395848434.Finally, LCM of Fractions for 493/14, 978/56, 821/331 is 395848434.