Least Common Multiple of 427/24, 886/72, 992/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 427/24, 886/72, 992/411 quickly i.e. 187647712/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 427/24, 886/72, 992/411 is 187647712/3.

LCM(427/24, 886/72, 992/411) = 187647712/3

LCM of 427/24, 886/72, 992/411

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 427/24,886/72,992/411

Given numbers are 427/24,886/72,992/411

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 427,886,992

Least Common Multiple of Numerators i.e. LCM of 427,886,992 is 187647712.

GCF of Denominators means GCF of 24,72,411 as per the given fractions.

GCF of 24,72,411 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 427,886,992

LCM of Fractions 427/24,886/72,992/411 is 187647712/3

2 427, 886, 992
427, 443, 496

∴ So the LCM of the given numbers is 2 x 427 x 443 x 496 = 187647712

Least Common Multiple of 427,886,992 with GCF Formula

Least Common Multiple of 427,886,992 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 427,886,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,886,992) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(427,886,992) x common factors =1 x 2 = 2

LCM(427,886,992) = ( 427 × 886 × 992 ) / 2

LCM(427,886,992) = 375295424 / 2

LCM(427,886,992) = 187647712


Lets's calculate GCF of 24,72,411

3 24, 72, 411
8, 24, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187647712/3

Therefore the LCM of Fractions 427/24,886/72,992/411 is 187647712/3

Greatest Common Factor of 24,72,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,72,411 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 24,72,411 . The biggest common factor number is the GCF number.
So the greatest common factor 24,72,411 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 427/24, 886/72, 992/411

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 427/24, 886/72, 992/411?

Answer: LCM of Numerators as per given numbers 427/24, 886/72, 992/411 is

LCM of Numerators i.e. for 427,886,992 is 187647712

GCF of denominators i.e. for 24,72,411 is 3.

Thus, LCM of Fractions is 187647712/3.Finally, LCM of Fractions for 427/24, 886/72, 992/411 is 187647712/3.