Least Common Multiple of 3/82, 1/34, 83/35, 16/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/82, 1/34, 83/35, 16/575 quickly i.e. 3984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/82, 1/34, 83/35, 16/575 is 3984.

LCM(3/82, 1/34, 83/35, 16/575) = 3984

LCM of 3/82, 1/34, 83/35, 16/575

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 3/82,1/34,83/35,16/575

Given numbers are 3/82,1/34,83/35,16/575

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 3,1,83,16

Least Common Multiple of Numerators i.e. LCM of 3,1,83,16 is 3984.

GCF of Denominators means GCF of 82,34,35,575 as per the given fractions.

GCF of 82,34,35,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,1,83,16

LCM of Fractions 3/82,1/34,83/35,16/575 is 3984

Given numbers has no common factors except 1. So, there LCM is their product i.e 3984

Least Common Multiple of 3,1,83,16 with GCF Formula

Least Common Multiple of 3,1,83,16 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 3,1,83,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,1,83,16) = 1

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

GCF(3,1,83,16) x common factors =1 x 1 = 1

LCM(3,1,83,16) = ( 3 × 1 × 83 × 16 ) / 1

LCM(3,1,83,16) = 3984 / 1

LCM(3,1,83,16) = 3984


Lets's calculate GCF of 82,34,35,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3984/1

Therefore the LCM of Fractions 3/82,1/34,83/35,16/575 is 3984

Greatest Common Factor of 82,34,35,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,34,35,575 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 82,34,35,575 . The biggest common factor number is the GCF number.
So the greatest common factor 82,34,35,575 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 3/82, 1/34, 83/35, 16/575

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 3/82, 1/34, 83/35, 16/575?

Answer: LCM of Numerators as per given numbers 3/82, 1/34, 83/35, 16/575 is

LCM of Numerators i.e. for 3,1,83,16 is 3984

GCF of denominators i.e. for 82,34,35,575 is 1.

Thus, LCM of Fractions is 3984.Finally, LCM of Fractions for 3/82, 1/34, 83/35, 16/575 is 3984.