Least Common Multiple of 1887/394, 1701/3665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1887/394, 1701/3665 quickly i.e. 1069929 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1887/394, 1701/3665 is 1069929.

LCM(1887/394, 1701/3665) = 1069929

LCM of 1887/394, 1701/3665

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 1887/394,1701/3665

Given numbers are 1887/394,1701/3665

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 1887,1701

Least Common Multiple of Numerators i.e. LCM of 1887,1701 is 1069929.

GCF of Denominators means GCF of 394,3665 as per the given fractions.

GCF of 394,3665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1887,1701

LCM of Fractions 1887/394,1701/3665 is 1069929

3 1887, 1701
629, 567

∴ So the LCM of the given numbers is 3 x 629 x 567 = 1069929

Least Common Multiple of 1887,1701 with GCF Formula

Least Common Multiple of 1887,1701 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 1887,1701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1887,1701) = 3

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

GCF(1887,1701) x common factors =3 x 1 = 3

LCM(1887,1701) = ( 1887 × 1701 ) / 3

LCM(1887,1701) = 3209787 / 3

LCM(1887,1701) = 1069929


Lets's calculate GCF of 394,3665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1069929/1

Therefore the LCM of Fractions 1887/394,1701/3665 is 1069929

Greatest Common Factor of 394,3665 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,3665 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 3665

List of positive integer factors of 3665 that divides 3665 without a remainder.

1,5,733,3665

Greatest Common Factor

We found the factors 394,3665 . The biggest common factor number is the GCF number.
So the greatest common factor 394,3665 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 1887/394, 1701/3665

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 1887/394, 1701/3665?

Answer: LCM of Numerators as per given numbers 1887/394, 1701/3665 is

LCM of Numerators i.e. for 1887,1701 is 1069929

GCF of denominators i.e. for 394,3665 is 1.

Thus, LCM of Fractions is 1069929.Finally, LCM of Fractions for 1887/394, 1701/3665 is 1069929.