Least Common Multiple of 982/773, 181/424, 738/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 982/773, 181/424, 738/471 quickly i.e. 65586798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/773, 181/424, 738/471 is 65586798.

LCM(982/773, 181/424, 738/471) = 65586798

LCM of 982/773, 181/424, 738/471

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 982/773,181/424,738/471

Given numbers are 982/773,181/424,738/471

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 982,181,738

Least Common Multiple of Numerators i.e. LCM of 982,181,738 is 65586798.

GCF of Denominators means GCF of 773,424,471 as per the given fractions.

GCF of 773,424,471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,181,738

LCM of Fractions 982/773,181/424,738/471 is 65586798

2 982, 181, 738
491, 181, 369

∴ So the LCM of the given numbers is 2 x 491 x 181 x 369 = 65586798

Least Common Multiple of 982,181,738 with GCF Formula

Least Common Multiple of 982,181,738 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 982,181,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,181,738) = 1

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

GCF(982,181,738) x common factors =1 x 2 = 2

LCM(982,181,738) = ( 982 × 181 × 738 ) / 2

LCM(982,181,738) = 131173596 / 2

LCM(982,181,738) = 65586798


Lets's calculate GCF of 773,424,471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65586798/1

Therefore the LCM of Fractions 982/773,181/424,738/471 is 65586798

Greatest Common Factor of 773,424,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 773,424,471 By Matching Biggest Common Factor Method

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 773,424,471 . The biggest common factor number is the GCF number.
So the greatest common factor 773,424,471 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 982/773, 181/424, 738/471

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 982/773, 181/424, 738/471?

Answer: LCM of Numerators as per given numbers 982/773, 181/424, 738/471 is

LCM of Numerators i.e. for 982,181,738 is 65586798

GCF of denominators i.e. for 773,424,471 is 1.

Thus, LCM of Fractions is 65586798.Finally, LCM of Fractions for 982/773, 181/424, 738/471 is 65586798.