Least Common Multiple of 1036/343, 8669/2016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1036/343, 8669/2016 quickly i.e. 1283012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1036/343, 8669/2016 is 1283012.

LCM(1036/343, 8669/2016) = 1283012

LCM of 1036/343, 8669/2016

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 1036/343,8669/2016

Given numbers are 1036/343,8669/2016

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 1036,8669

Least Common Multiple of Numerators i.e. LCM of 1036,8669 is 8981084.

GCF of Denominators means GCF of 343,2016 as per the given fractions.

GCF of 343,2016 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1036,8669

LCM of Fractions 1036/343,8669/2016 is 1283012

Given numbers has no common factors except 1. So, there LCM is their product i.e 8981084

Least Common Multiple of 1036,8669 with GCF Formula

Least Common Multiple of 1036,8669 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 1036,8669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1036,8669) = 1

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

GCF(1036,8669) x common factors =1 x 1 = 1

LCM(1036,8669) = ( 1036 × 8669 ) / 1

LCM(1036,8669) = 8981084 / 1

LCM(1036,8669) = 8981084


Lets's calculate GCF of 343,2016

7 343, 2016
49, 288

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8981084/7

Therefore the LCM of Fractions 1036/343,8669/2016 is 1283012

Greatest Common Factor of 343,2016 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,2016 By Matching Biggest Common Factor Method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 2016

List of positive integer factors of 2016 that divides 2016 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016

Greatest Common Factor

We found the factors 343,2016 . The biggest common factor number is the GCF number.
So the greatest common factor 343,2016 is 7.


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 1036/343, 8669/2016

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 1036/343, 8669/2016?

Answer: LCM of Numerators as per given numbers 1036/343, 8669/2016 is

LCM of Numerators i.e. for 1036,8669 is 8981084

GCF of denominators i.e. for 343,2016 is 7.

Thus, LCM of Fractions is 1283012.Finally, LCM of Fractions for 1036/343, 8669/2016 is 1283012.