Least Common Multiple of 67/175, 16/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/175, 16/320 quickly i.e. 1072/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/175, 16/320 is 1072/5.

LCM(67/175, 16/320) = 1072/5

LCM of 67/175, 16/320

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 67/175,16/320

Given numbers are 67/175,16/320

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 67,16

Least Common Multiple of Numerators i.e. LCM of 67,16 is 1072.

GCF of Denominators means GCF of 175,320 as per the given fractions.

GCF of 175,320 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,16

LCM of Fractions 67/175,16/320 is 1072/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 1072

Least Common Multiple of 67,16 with GCF Formula

Least Common Multiple of 67,16 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 67,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,16) = 1

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

GCF(67,16) x common factors =1 x 1 = 1

LCM(67,16) = ( 67 × 16 ) / 1

LCM(67,16) = 1072 / 1

LCM(67,16) = 1072


Lets's calculate GCF of 175,320

5 175, 320
35, 64

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1072/5

Therefore the LCM of Fractions 67/175,16/320 is 1072/5

Greatest Common Factor of 175,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,320 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 175,320 . The biggest common factor number is the GCF number.
So the greatest common factor 175,320 is 5.


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 67/175, 16/320

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 67/175, 16/320?

Answer: LCM of Numerators as per given numbers 67/175, 16/320 is

LCM of Numerators i.e. for 67,16 is 1072

GCF of denominators i.e. for 175,320 is 5.

Thus, LCM of Fractions is 1072/5.Finally, LCM of Fractions for 67/175, 16/320 is 1072/5.