Least Common Multiple of 646/489, 1356/3697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 646/489, 1356/3697 quickly i.e. 437988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 646/489, 1356/3697 is 437988.

LCM(646/489, 1356/3697) = 437988

LCM of 646/489, 1356/3697

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 646/489,1356/3697

Given numbers are 646/489,1356/3697

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 646,1356

Least Common Multiple of Numerators i.e. LCM of 646,1356 is 437988.

GCF of Denominators means GCF of 489,3697 as per the given fractions.

GCF of 489,3697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 646,1356

LCM of Fractions 646/489,1356/3697 is 437988

2 646, 1356
323, 678

∴ So the LCM of the given numbers is 2 x 323 x 678 = 437988

Least Common Multiple of 646,1356 with GCF Formula

Least Common Multiple of 646,1356 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 646,1356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,1356) = 2

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

GCF(646,1356) x common factors =2 x 1 = 2

LCM(646,1356) = ( 646 × 1356 ) / 2

LCM(646,1356) = 875976 / 2

LCM(646,1356) = 437988


Lets's calculate GCF of 489,3697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 437988/1

Therefore the LCM of Fractions 646/489,1356/3697 is 437988

Greatest Common Factor of 489,3697 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,3697 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 3697

List of positive integer factors of 3697 that divides 3697 without a remainder.

1,3697

Greatest Common Factor

We found the factors 489,3697 . The biggest common factor number is the GCF number.
So the greatest common factor 489,3697 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 646/489, 1356/3697

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 646/489, 1356/3697?

Answer: LCM of Numerators as per given numbers 646/489, 1356/3697 is

LCM of Numerators i.e. for 646,1356 is 437988

GCF of denominators i.e. for 489,3697 is 1.

Thus, LCM of Fractions is 437988.Finally, LCM of Fractions for 646/489, 1356/3697 is 437988.