Least Common Multiple of 491/831, 294/408, 814/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/831, 294/408, 814/657 quickly i.e. 19584026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/831, 294/408, 814/657 is 19584026.

LCM(491/831, 294/408, 814/657) = 19584026

LCM of 491/831, 294/408, 814/657

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 491/831,294/408,814/657

Given numbers are 491/831,294/408,814/657

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 491,294,814

Least Common Multiple of Numerators i.e. LCM of 491,294,814 is 58752078.

GCF of Denominators means GCF of 831,408,657 as per the given fractions.

GCF of 831,408,657 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,294,814

LCM of Fractions 491/831,294/408,814/657 is 19584026

2 491, 294, 814
491, 147, 407

∴ So the LCM of the given numbers is 2 x 491 x 147 x 407 = 58752078

Least Common Multiple of 491,294,814 with GCF Formula

Least Common Multiple of 491,294,814 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 491,294,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,294,814) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(491,294,814) x common factors =1 x 2 = 2

LCM(491,294,814) = ( 491 × 294 × 814 ) / 2

LCM(491,294,814) = 117504156 / 2

LCM(491,294,814) = 58752078


Lets's calculate GCF of 831,408,657

3 831, 408, 657
277, 136, 219

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58752078/3

Therefore the LCM of Fractions 491/831,294/408,814/657 is 19584026

Greatest Common Factor of 831,408,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 831,408,657 By Matching Biggest Common Factor Method

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 831,408,657 . The biggest common factor number is the GCF number.
So the greatest common factor 831,408,657 is 3.


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 491/831, 294/408, 814/657

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 491/831, 294/408, 814/657?

Answer: LCM of Numerators as per given numbers 491/831, 294/408, 814/657 is

LCM of Numerators i.e. for 491,294,814 is 58752078

GCF of denominators i.e. for 831,408,657 is 3.

Thus, LCM of Fractions is 19584026.Finally, LCM of Fractions for 491/831, 294/408, 814/657 is 19584026.