Least Common Multiple of 279/14, 180/24, 319/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/14, 180/24, 319/19 quickly i.e. 1780020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/14, 180/24, 319/19 is 1780020.

LCM(279/14, 180/24, 319/19) = 1780020

LCM of 279/14, 180/24, 319/19

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 279/14,180/24,319/19

Given numbers are 279/14,180/24,319/19

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 279,180,319

Least Common Multiple of Numerators i.e. LCM of 279,180,319 is 1780020.

GCF of Denominators means GCF of 14,24,19 as per the given fractions.

GCF of 14,24,19 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,180,319

LCM of Fractions 279/14,180/24,319/19 is 1780020

3 279, 180, 319
3 93, 60, 319
31, 20, 319

∴ So the LCM of the given numbers is 3 x 3 x 31 x 20 x 319 = 1780020

Least Common Multiple of 279,180,319 with GCF Formula

Least Common Multiple of 279,180,319 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 279,180,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,180,319) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(279,180,319) x common factors =1 x 9 = 9

LCM(279,180,319) = ( 279 × 180 × 319 ) / 9

LCM(279,180,319) = 16020180 / 9

LCM(279,180,319) = 1780020


Lets's calculate GCF of 14,24,19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1780020/1

Therefore the LCM of Fractions 279/14,180/24,319/19 is 1780020

Greatest Common Factor of 14,24,19 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,24,19 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Greatest Common Factor

We found the factors 14,24,19 . The biggest common factor number is the GCF number.
So the greatest common factor 14,24,19 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 279/14, 180/24, 319/19

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 279/14, 180/24, 319/19?

Answer: LCM of Numerators as per given numbers 279/14, 180/24, 319/19 is

LCM of Numerators i.e. for 279,180,319 is 1780020

GCF of denominators i.e. for 14,24,19 is 1.

Thus, LCM of Fractions is 1780020.Finally, LCM of Fractions for 279/14, 180/24, 319/19 is 1780020.