Least Common Multiple of 374/18, 475/1805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 374/18, 475/1805 quickly i.e. 177650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/18, 475/1805 is 177650.

LCM(374/18, 475/1805) = 177650

LCM of 374/18, 475/1805

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 374/18,475/1805

Given numbers are 374/18,475/1805

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 374,475

Least Common Multiple of Numerators i.e. LCM of 374,475 is 177650.

GCF of Denominators means GCF of 18,1805 as per the given fractions.

GCF of 18,1805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,475

LCM of Fractions 374/18,475/1805 is 177650

Given numbers has no common factors except 1. So, there LCM is their product i.e 177650

Least Common Multiple of 374,475 with GCF Formula

Least Common Multiple of 374,475 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 374,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,475) = 1

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

GCF(374,475) x common factors =1 x 1 = 1

LCM(374,475) = ( 374 × 475 ) / 1

LCM(374,475) = 177650 / 1

LCM(374,475) = 177650


Lets's calculate GCF of 18,1805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177650/1

Therefore the LCM of Fractions 374/18,475/1805 is 177650

Greatest Common Factor of 18,1805 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,1805 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 1805

List of positive integer factors of 1805 that divides 1805 without a remainder.

1,5,19,95,361,1805

Greatest Common Factor

We found the factors 18,1805 . The biggest common factor number is the GCF number.
So the greatest common factor 18,1805 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 374/18, 475/1805

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 374/18, 475/1805?

Answer: LCM of Numerators as per given numbers 374/18, 475/1805 is

LCM of Numerators i.e. for 374,475 is 177650

GCF of denominators i.e. for 18,1805 is 1.

Thus, LCM of Fractions is 177650.Finally, LCM of Fractions for 374/18, 475/1805 is 177650.