Least Common Multiple of 32/275, 71/743, 105/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/275, 71/743, 105/999 quickly i.e. 238560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/275, 71/743, 105/999 is 238560.

LCM(32/275, 71/743, 105/999) = 238560

LCM of 32/275, 71/743, 105/999

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 32/275,71/743,105/999

Given numbers are 32/275,71/743,105/999

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 32,71,105

Least Common Multiple of Numerators i.e. LCM of 32,71,105 is 238560.

GCF of Denominators means GCF of 275,743,999 as per the given fractions.

GCF of 275,743,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,71,105

LCM of Fractions 32/275,71/743,105/999 is 238560

Given numbers has no common factors except 1. So, there LCM is their product i.e 238560

Least Common Multiple of 32,71,105 with GCF Formula

Least Common Multiple of 32,71,105 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 32,71,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,71,105) = 1

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

GCF(32,71,105) x common factors =1 x 1 = 1

LCM(32,71,105) = ( 32 × 71 × 105 ) / 1

LCM(32,71,105) = 238560 / 1

LCM(32,71,105) = 238560


Lets's calculate GCF of 275,743,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238560/1

Therefore the LCM of Fractions 32/275,71/743,105/999 is 238560

Greatest Common Factor of 275,743,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,743,999 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 275,743,999 . The biggest common factor number is the GCF number.
So the greatest common factor 275,743,999 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 32/275, 71/743, 105/999

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 32/275, 71/743, 105/999?

Answer: LCM of Numerators as per given numbers 32/275, 71/743, 105/999 is

LCM of Numerators i.e. for 32,71,105 is 238560

GCF of denominators i.e. for 275,743,999 is 1.

Thus, LCM of Fractions is 238560.Finally, LCM of Fractions for 32/275, 71/743, 105/999 is 238560.