Least Common Multiple of 38/45, 83/83, 89/97, 571/27

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/45, 83/83, 89/97, 571/27 quickly i.e. 160283126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/45, 83/83, 89/97, 571/27 is 160283126.

LCM(38/45, 83/83, 89/97, 571/27) = 160283126

LCM of 38/45, 83/83, 89/97, 571/27

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 38/45,83/83,89/97,571/27

Given numbers are 38/45,83/83,89/97,571/27

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 38,83,89,571

Least Common Multiple of Numerators i.e. LCM of 38,83,89,571 is 160283126.

GCF of Denominators means GCF of 45,83,97,27 as per the given fractions.

GCF of 45,83,97,27 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,83,89,571

LCM of Fractions 38/45,83/83,89/97,571/27 is 160283126

Given numbers has no common factors except 1. So, there LCM is their product i.e 160283126

Least Common Multiple of 38,83,89,571 with GCF Formula

Least Common Multiple of 38,83,89,571 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 38,83,89,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,83,89,571) = 1

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

GCF(38,83,89,571) x common factors =1 x 1 = 1

LCM(38,83,89,571) = ( 38 × 83 × 89 × 571 ) / 1

LCM(38,83,89,571) = 160283126 / 1

LCM(38,83,89,571) = 160283126


Lets's calculate GCF of 45,83,97,27

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160283126/1

Therefore the LCM of Fractions 38/45,83/83,89/97,571/27 is 160283126

Greatest Common Factor of 45,83,97,27 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,83,97,27 By Matching Biggest Common Factor Method

Factors of 45

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

1,3,5,9,15,45

Factors of 83

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

1,83

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Greatest Common Factor

We found the factors 45,83,97,27 . The biggest common factor number is the GCF number.
So the greatest common factor 45,83,97,27 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 38/45, 83/83, 89/97, 571/27

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 38/45, 83/83, 89/97, 571/27?

Answer: LCM of Numerators as per given numbers 38/45, 83/83, 89/97, 571/27 is

LCM of Numerators i.e. for 38,83,89,571 is 160283126

GCF of denominators i.e. for 45,83,97,27 is 1.

Thus, LCM of Fractions is 160283126.Finally, LCM of Fractions for 38/45, 83/83, 89/97, 571/27 is 160283126.