Least Common Multiple of 19/24, 359/55, 218/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/24, 359/55, 218/279 quickly i.e. 1486978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/24, 359/55, 218/279 is 1486978.

LCM(19/24, 359/55, 218/279) = 1486978

LCM of 19/24, 359/55, 218/279

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 19/24,359/55,218/279

Given numbers are 19/24,359/55,218/279

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 19,359,218

Least Common Multiple of Numerators i.e. LCM of 19,359,218 is 1486978.

GCF of Denominators means GCF of 24,55,279 as per the given fractions.

GCF of 24,55,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,359,218

LCM of Fractions 19/24,359/55,218/279 is 1486978

Given numbers has no common factors except 1. So, there LCM is their product i.e 1486978

Least Common Multiple of 19,359,218 with GCF Formula

Least Common Multiple of 19,359,218 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 19,359,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,359,218) = 1

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

GCF(19,359,218) x common factors =1 x 1 = 1

LCM(19,359,218) = ( 19 × 359 × 218 ) / 1

LCM(19,359,218) = 1486978 / 1

LCM(19,359,218) = 1486978


Lets's calculate GCF of 24,55,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1486978/1

Therefore the LCM of Fractions 19/24,359/55,218/279 is 1486978

Greatest Common Factor of 24,55,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,55,279 By Matching Biggest Common Factor Method

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 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 24,55,279 . The biggest common factor number is the GCF number.
So the greatest common factor 24,55,279 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 19/24, 359/55, 218/279

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 19/24, 359/55, 218/279?

Answer: LCM of Numerators as per given numbers 19/24, 359/55, 218/279 is

LCM of Numerators i.e. for 19,359,218 is 1486978

GCF of denominators i.e. for 24,55,279 is 1.

Thus, LCM of Fractions is 1486978.Finally, LCM of Fractions for 19/24, 359/55, 218/279 is 1486978.