Least Common Multiple of 51/497, 338/842, 461/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/497, 338/842, 461/738 quickly i.e. 7946718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/497, 338/842, 461/738 is 7946718.

LCM(51/497, 338/842, 461/738) = 7946718

LCM of 51/497, 338/842, 461/738

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 51/497,338/842,461/738

Given numbers are 51/497,338/842,461/738

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 51,338,461

Least Common Multiple of Numerators i.e. LCM of 51,338,461 is 7946718.

GCF of Denominators means GCF of 497,842,738 as per the given fractions.

GCF of 497,842,738 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,338,461

LCM of Fractions 51/497,338/842,461/738 is 7946718

Given numbers has no common factors except 1. So, there LCM is their product i.e 7946718

Least Common Multiple of 51,338,461 with GCF Formula

Least Common Multiple of 51,338,461 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 51,338,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,338,461) = 1

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

GCF(51,338,461) x common factors =1 x 1 = 1

LCM(51,338,461) = ( 51 × 338 × 461 ) / 1

LCM(51,338,461) = 7946718 / 1

LCM(51,338,461) = 7946718


Lets's calculate GCF of 497,842,738

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7946718/1

Therefore the LCM of Fractions 51/497,338/842,461/738 is 7946718

Greatest Common Factor of 497,842,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,842,738 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 497,842,738 . The biggest common factor number is the GCF number.
So the greatest common factor 497,842,738 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 51/497, 338/842, 461/738

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 51/497, 338/842, 461/738?

Answer: LCM of Numerators as per given numbers 51/497, 338/842, 461/738 is

LCM of Numerators i.e. for 51,338,461 is 7946718

GCF of denominators i.e. for 497,842,738 is 1.

Thus, LCM of Fractions is 7946718.Finally, LCM of Fractions for 51/497, 338/842, 461/738 is 7946718.