Least Common Multiple of 889/14, 769/3289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 889/14, 769/3289 quickly i.e. 683641 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 889/14, 769/3289 is 683641.

LCM(889/14, 769/3289) = 683641

LCM of 889/14, 769/3289

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 889/14,769/3289

Given numbers are 889/14,769/3289

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 889,769

Least Common Multiple of Numerators i.e. LCM of 889,769 is 683641.

GCF of Denominators means GCF of 14,3289 as per the given fractions.

GCF of 14,3289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 889,769

LCM of Fractions 889/14,769/3289 is 683641

Given numbers has no common factors except 1. So, there LCM is their product i.e 683641

Least Common Multiple of 889,769 with GCF Formula

Least Common Multiple of 889,769 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 889,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,769) = 1

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

GCF(889,769) x common factors =1 x 1 = 1

LCM(889,769) = ( 889 × 769 ) / 1

LCM(889,769) = 683641 / 1

LCM(889,769) = 683641


Lets's calculate GCF of 14,3289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 683641/1

Therefore the LCM of Fractions 889/14,769/3289 is 683641

Greatest Common Factor of 14,3289 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,3289 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 3289

List of positive integer factors of 3289 that divides 3289 without a remainder.

1,11,13,23,143,253,299,3289

Greatest Common Factor

We found the factors 14,3289 . The biggest common factor number is the GCF number.
So the greatest common factor 14,3289 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 889/14, 769/3289

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 889/14, 769/3289?

Answer: LCM of Numerators as per given numbers 889/14, 769/3289 is

LCM of Numerators i.e. for 889,769 is 683641

GCF of denominators i.e. for 14,3289 is 1.

Thus, LCM of Fractions is 683641.Finally, LCM of Fractions for 889/14, 769/3289 is 683641.