Least Common Multiple of 1731/675, 1888/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1731/675, 1888/162 quickly i.e. 3268128/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1731/675, 1888/162 is 3268128/27.

LCM(1731/675, 1888/162) = 3268128/27

LCM of 1731/675, 1888/162

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 1731/675,1888/162

Given numbers are 1731/675,1888/162

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 1731,1888

Least Common Multiple of Numerators i.e. LCM of 1731,1888 is 3268128.

GCF of Denominators means GCF of 675,162 as per the given fractions.

GCF of 675,162 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1731,1888

LCM of Fractions 1731/675,1888/162 is 3268128/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 3268128

Least Common Multiple of 1731,1888 with GCF Formula

Least Common Multiple of 1731,1888 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 1731,1888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1731,1888) = 1

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

GCF(1731,1888) x common factors =1 x 1 = 1

LCM(1731,1888) = ( 1731 × 1888 ) / 1

LCM(1731,1888) = 3268128 / 1

LCM(1731,1888) = 3268128


Lets's calculate GCF of 675,162

3 675, 162
3 225, 54
3 75, 18
25, 6

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3268128/27

Therefore the LCM of Fractions 1731/675,1888/162 is 3268128/27

Greatest Common Factor of 675,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,162 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 675,162 . The biggest common factor number is the GCF number.
So the greatest common factor 675,162 is 27.


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 1731/675, 1888/162

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 1731/675, 1888/162?

Answer: LCM of Numerators as per given numbers 1731/675, 1888/162 is

LCM of Numerators i.e. for 1731,1888 is 3268128

GCF of denominators i.e. for 675,162 is 27.

Thus, LCM of Fractions is 3268128/27.Finally, LCM of Fractions for 1731/675, 1888/162 is 3268128/27.