Least Common Multiple of 334/477, 517/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 334/477, 517/649 quickly i.e. 172678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/477, 517/649 is 172678.

LCM(334/477, 517/649) = 172678

LCM of 334/477, 517/649

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 334/477,517/649

Given numbers are 334/477,517/649

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 334,517

Least Common Multiple of Numerators i.e. LCM of 334,517 is 172678.

GCF of Denominators means GCF of 477,649 as per the given fractions.

GCF of 477,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,517

LCM of Fractions 334/477,517/649 is 172678

Given numbers has no common factors except 1. So, there LCM is their product i.e 172678

Least Common Multiple of 334,517 with GCF Formula

Least Common Multiple of 334,517 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 334,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,517) = 1

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

GCF(334,517) x common factors =1 x 1 = 1

LCM(334,517) = ( 334 × 517 ) / 1

LCM(334,517) = 172678 / 1

LCM(334,517) = 172678


Lets's calculate GCF of 477,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172678/1

Therefore the LCM of Fractions 334/477,517/649 is 172678

Greatest Common Factor of 477,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,649 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 477,649 . The biggest common factor number is the GCF number.
So the greatest common factor 477,649 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 334/477, 517/649

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 334/477, 517/649?

Answer: LCM of Numerators as per given numbers 334/477, 517/649 is

LCM of Numerators i.e. for 334,517 is 172678

GCF of denominators i.e. for 477,649 is 1.

Thus, LCM of Fractions is 172678.Finally, LCM of Fractions for 334/477, 517/649 is 172678.