Least Common Multiple of 312/89, 173/1605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/89, 173/1605 quickly i.e. 53976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/89, 173/1605 is 53976.

LCM(312/89, 173/1605) = 53976

LCM of 312/89, 173/1605

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 312/89,173/1605

Given numbers are 312/89,173/1605

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 312,173

Least Common Multiple of Numerators i.e. LCM of 312,173 is 53976.

GCF of Denominators means GCF of 89,1605 as per the given fractions.

GCF of 89,1605 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,173

LCM of Fractions 312/89,173/1605 is 53976

Given numbers has no common factors except 1. So, there LCM is their product i.e 53976

Least Common Multiple of 312,173 with GCF Formula

Least Common Multiple of 312,173 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 312,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,173) = 1

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

GCF(312,173) x common factors =1 x 1 = 1

LCM(312,173) = ( 312 × 173 ) / 1

LCM(312,173) = 53976 / 1

LCM(312,173) = 53976


Lets's calculate GCF of 89,1605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53976/1

Therefore the LCM of Fractions 312/89,173/1605 is 53976

Greatest Common Factor of 89,1605 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,1605 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 1605

List of positive integer factors of 1605 that divides 1605 without a remainder.

1,3,5,15,107,321,535,1605

Greatest Common Factor

We found the factors 89,1605 . The biggest common factor number is the GCF number.
So the greatest common factor 89,1605 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 312/89, 173/1605

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 312/89, 173/1605?

Answer: LCM of Numerators as per given numbers 312/89, 173/1605 is

LCM of Numerators i.e. for 312,173 is 53976

GCF of denominators i.e. for 89,1605 is 1.

Thus, LCM of Fractions is 53976.Finally, LCM of Fractions for 312/89, 173/1605 is 53976.