Least Common Multiple of 172/960, 7009/1296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 172/960, 7009/1296 quickly i.e. 28036/48 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 172/960, 7009/1296 is 28036/48.

LCM(172/960, 7009/1296) = 28036/48

LCM of 172/960, 7009/1296

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 172/960,7009/1296

Given numbers are 172/960,7009/1296

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 172,7009

Least Common Multiple of Numerators i.e. LCM of 172,7009 is 28036.

GCF of Denominators means GCF of 960,1296 as per the given fractions.

GCF of 960,1296 is 48 as it is the largest common factor for these numbers.

Lets's calculate LCM of 172,7009

LCM of Fractions 172/960,7009/1296 is 28036/48

43 172, 7009
4, 163

∴ So the LCM of the given numbers is 43 x 4 x 163 = 28036

Least Common Multiple of 172,7009 with GCF Formula

Least Common Multiple of 172,7009 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 172,7009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,7009) = 43

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

GCF(172,7009) x common factors =43 x 1 = 43

LCM(172,7009) = ( 172 × 7009 ) / 43

LCM(172,7009) = 1205548 / 43

LCM(172,7009) = 28036


Lets's calculate GCF of 960,1296

2 960, 1296
2 480, 648
2 240, 324
2 120, 162
3 60, 81
20, 27

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28036/48

Therefore the LCM of Fractions 172/960,7009/1296 is 28036/48

Greatest Common Factor of 960,1296 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,1296 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 1296

List of positive integer factors of 1296 that divides 1296 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296

Greatest Common Factor

We found the factors 960,1296 . The biggest common factor number is the GCF number.
So the greatest common factor 960,1296 is 48.


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 172/960, 7009/1296

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 172/960, 7009/1296?

Answer: LCM of Numerators as per given numbers 172/960, 7009/1296 is

LCM of Numerators i.e. for 172,7009 is 28036

GCF of denominators i.e. for 960,1296 is 48.

Thus, LCM of Fractions is 28036/48.Finally, LCM of Fractions for 172/960, 7009/1296 is 28036/48.