Least Common Multiple of 677/14, 441/3345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 677/14, 441/3345 quickly i.e. 298557 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 677/14, 441/3345 is 298557.

LCM(677/14, 441/3345) = 298557

LCM of 677/14, 441/3345

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 677/14,441/3345

Given numbers are 677/14,441/3345

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 677,441

Least Common Multiple of Numerators i.e. LCM of 677,441 is 298557.

GCF of Denominators means GCF of 14,3345 as per the given fractions.

GCF of 14,3345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 677,441

LCM of Fractions 677/14,441/3345 is 298557

Given numbers has no common factors except 1. So, there LCM is their product i.e 298557

Least Common Multiple of 677,441 with GCF Formula

Least Common Multiple of 677,441 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 677,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,441) = 1

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

GCF(677,441) x common factors =1 x 1 = 1

LCM(677,441) = ( 677 × 441 ) / 1

LCM(677,441) = 298557 / 1

LCM(677,441) = 298557


Lets's calculate GCF of 14,3345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298557/1

Therefore the LCM of Fractions 677/14,441/3345 is 298557

Greatest Common Factor of 14,3345 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,3345 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 3345

List of positive integer factors of 3345 that divides 3345 without a remainder.

1,3,5,15,223,669,1115,3345

Greatest Common Factor

We found the factors 14,3345 . The biggest common factor number is the GCF number.
So the greatest common factor 14,3345 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 677/14, 441/3345

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 677/14, 441/3345?

Answer: LCM of Numerators as per given numbers 677/14, 441/3345 is

LCM of Numerators i.e. for 677,441 is 298557

GCF of denominators i.e. for 14,3345 is 1.

Thus, LCM of Fractions is 298557.Finally, LCM of Fractions for 677/14, 441/3345 is 298557.