Least Common Multiple of 1/83, 7/45, 44/31, 83/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/83, 7/45, 44/31, 83/382 quickly i.e. 25564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/83, 7/45, 44/31, 83/382 is 25564.

LCM(1/83, 7/45, 44/31, 83/382) = 25564

LCM of 1/83, 7/45, 44/31, 83/382

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 1/83,7/45,44/31,83/382

Given numbers are 1/83,7/45,44/31,83/382

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 1,7,44,83

Least Common Multiple of Numerators i.e. LCM of 1,7,44,83 is 25564.

GCF of Denominators means GCF of 83,45,31,382 as per the given fractions.

GCF of 83,45,31,382 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,7,44,83

LCM of Fractions 1/83,7/45,44/31,83/382 is 25564

Given numbers has no common factors except 1. So, there LCM is their product i.e 25564

Least Common Multiple of 1,7,44,83 with GCF Formula

Least Common Multiple of 1,7,44,83 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 1,7,44,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,7,44,83) = 1

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

GCF(1,7,44,83) x common factors =1 x 1 = 1

LCM(1,7,44,83) = ( 1 × 7 × 44 × 83 ) / 1

LCM(1,7,44,83) = 25564 / 1

LCM(1,7,44,83) = 25564


Lets's calculate GCF of 83,45,31,382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25564/1

Therefore the LCM of Fractions 1/83,7/45,44/31,83/382 is 25564

Greatest Common Factor of 83,45,31,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,45,31,382 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 83,45,31,382 . The biggest common factor number is the GCF number.
So the greatest common factor 83,45,31,382 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 1/83, 7/45, 44/31, 83/382

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 1/83, 7/45, 44/31, 83/382?

Answer: LCM of Numerators as per given numbers 1/83, 7/45, 44/31, 83/382 is

LCM of Numerators i.e. for 1,7,44,83 is 25564

GCF of denominators i.e. for 83,45,31,382 is 1.

Thus, LCM of Fractions is 25564.Finally, LCM of Fractions for 1/83, 7/45, 44/31, 83/382 is 25564.