Least Common Multiple of 5919/24, 8088/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5919/24, 8088/355 quickly i.e. 15957624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5919/24, 8088/355 is 15957624.

LCM(5919/24, 8088/355) = 15957624

LCM of 5919/24, 8088/355

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 5919/24,8088/355

Given numbers are 5919/24,8088/355

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 5919,8088

Least Common Multiple of Numerators i.e. LCM of 5919,8088 is 15957624.

GCF of Denominators means GCF of 24,355 as per the given fractions.

GCF of 24,355 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5919,8088

LCM of Fractions 5919/24,8088/355 is 15957624

3 5919, 8088
1973, 2696

∴ So the LCM of the given numbers is 3 x 1973 x 2696 = 15957624

Least Common Multiple of 5919,8088 with GCF Formula

Least Common Multiple of 5919,8088 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 5919,8088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5919,8088) = 3

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

GCF(5919,8088) x common factors =3 x 1 = 3

LCM(5919,8088) = ( 5919 × 8088 ) / 3

LCM(5919,8088) = 47872872 / 3

LCM(5919,8088) = 15957624


Lets's calculate GCF of 24,355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15957624/1

Therefore the LCM of Fractions 5919/24,8088/355 is 15957624

Greatest Common Factor of 24,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,355 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 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 24,355 . The biggest common factor number is the GCF number.
So the greatest common factor 24,355 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5919/24, 8088/355

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 5919/24, 8088/355?

Answer: LCM of Numerators as per given numbers 5919/24, 8088/355 is

LCM of Numerators i.e. for 5919,8088 is 15957624

GCF of denominators i.e. for 24,355 is 1.

Thus, LCM of Fractions is 15957624.Finally, LCM of Fractions for 5919/24, 8088/355 is 15957624.