Least Common Multiple of 67/82, 180/12, 174/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/82, 180/12, 174/960 quickly i.e. 174870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/82, 180/12, 174/960 is 174870.

LCM(67/82, 180/12, 174/960) = 174870

LCM of 67/82, 180/12, 174/960

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 67/82,180/12,174/960

Given numbers are 67/82,180/12,174/960

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 67,180,174

Least Common Multiple of Numerators i.e. LCM of 67,180,174 is 349740.

GCF of Denominators means GCF of 82,12,960 as per the given fractions.

GCF of 82,12,960 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,180,174

LCM of Fractions 67/82,180/12,174/960 is 174870

2 67, 180, 174
3 67, 90, 87
67, 30, 29

∴ So the LCM of the given numbers is 2 x 3 x 67 x 30 x 29 = 349740

Least Common Multiple of 67,180,174 with GCF Formula

Least Common Multiple of 67,180,174 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 67,180,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,180,174) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(67,180,174) x common factors =1 x 6 = 6

LCM(67,180,174) = ( 67 × 180 × 174 ) / 6

LCM(67,180,174) = 2098440 / 6

LCM(67,180,174) = 349740


Lets's calculate GCF of 82,12,960

2 82, 12, 960
41, 6, 480

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 349740/2

Therefore the LCM of Fractions 67/82,180/12,174/960 is 174870

Greatest Common Factor of 82,12,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,12,960 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

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

Greatest Common Factor

We found the factors 82,12,960 . The biggest common factor number is the GCF number.
So the greatest common factor 82,12,960 is 2.


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 67/82, 180/12, 174/960

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 67/82, 180/12, 174/960?

Answer: LCM of Numerators as per given numbers 67/82, 180/12, 174/960 is

LCM of Numerators i.e. for 67,180,174 is 349740

GCF of denominators i.e. for 82,12,960 is 2.

Thus, LCM of Fractions is 174870.Finally, LCM of Fractions for 67/82, 180/12, 174/960 is 174870.