Least Common Multiple of 371/90, 379/2019

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 371/90, 379/2019 quickly i.e. 140609/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 371/90, 379/2019 is 140609/3.

LCM(371/90, 379/2019) = 140609/3

LCM of 371/90, 379/2019

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 371/90,379/2019

Given numbers are 371/90,379/2019

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 371,379

Least Common Multiple of Numerators i.e. LCM of 371,379 is 140609.

GCF of Denominators means GCF of 90,2019 as per the given fractions.

GCF of 90,2019 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 371,379

LCM of Fractions 371/90,379/2019 is 140609/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 140609

Least Common Multiple of 371,379 with GCF Formula

Least Common Multiple of 371,379 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 371,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,379) = 1

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

GCF(371,379) x common factors =1 x 1 = 1

LCM(371,379) = ( 371 × 379 ) / 1

LCM(371,379) = 140609 / 1

LCM(371,379) = 140609


Lets's calculate GCF of 90,2019

3 90, 2019
30, 673

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140609/3

Therefore the LCM of Fractions 371/90,379/2019 is 140609/3

Greatest Common Factor of 90,2019 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,2019 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 2019

List of positive integer factors of 2019 that divides 2019 without a remainder.

1,3,673,2019

Greatest Common Factor

We found the factors 90,2019 . The biggest common factor number is the GCF number.
So the greatest common factor 90,2019 is 3.


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 371/90, 379/2019

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 371/90, 379/2019?

Answer: LCM of Numerators as per given numbers 371/90, 379/2019 is

LCM of Numerators i.e. for 371,379 is 140609

GCF of denominators i.e. for 90,2019 is 3.

Thus, LCM of Fractions is 140609/3.Finally, LCM of Fractions for 371/90, 379/2019 is 140609/3.