Least Common Multiple of 177/497, 179/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 177/497, 179/334 quickly i.e. 31683 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 177/497, 179/334 is 31683.

LCM(177/497, 179/334) = 31683

LCM of 177/497, 179/334

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 177/497,179/334

Given numbers are 177/497,179/334

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 177,179

Least Common Multiple of Numerators i.e. LCM of 177,179 is 31683.

GCF of Denominators means GCF of 497,334 as per the given fractions.

GCF of 497,334 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 177,179

LCM of Fractions 177/497,179/334 is 31683

Given numbers has no common factors except 1. So, there LCM is their product i.e 31683

Least Common Multiple of 177,179 with GCF Formula

Least Common Multiple of 177,179 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 177,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,179) = 1

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

GCF(177,179) x common factors =1 x 1 = 1

LCM(177,179) = ( 177 × 179 ) / 1

LCM(177,179) = 31683 / 1

LCM(177,179) = 31683


Lets's calculate GCF of 497,334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31683/1

Therefore the LCM of Fractions 177/497,179/334 is 31683

Greatest Common Factor of 497,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,334 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 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 497,334 . The biggest common factor number is the GCF number.
So the greatest common factor 497,334 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 177/497, 179/334

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 177/497, 179/334?

Answer: LCM of Numerators as per given numbers 177/497, 179/334 is

LCM of Numerators i.e. for 177,179 is 31683

GCF of denominators i.e. for 497,334 is 1.

Thus, LCM of Fractions is 31683.Finally, LCM of Fractions for 177/497, 179/334 is 31683.