Least Common Multiple of 405/93, 489/77, 864/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 405/93, 489/77, 864/428 quickly i.e. 2112480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 405/93, 489/77, 864/428 is 2112480.

LCM(405/93, 489/77, 864/428) = 2112480

LCM of 405/93, 489/77, 864/428

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 405/93,489/77,864/428

Given numbers are 405/93,489/77,864/428

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 405,489,864

Least Common Multiple of Numerators i.e. LCM of 405,489,864 is 2112480.

GCF of Denominators means GCF of 93,77,428 as per the given fractions.

GCF of 93,77,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 405,489,864

LCM of Fractions 405/93,489/77,864/428 is 2112480

3 405, 489, 864
3 135, 163, 288
3 45, 163, 96
15, 163, 32

∴ So the LCM of the given numbers is 3 x 3 x 3 x 15 x 163 x 32 = 2112480

Least Common Multiple of 405,489,864 with GCF Formula

Least Common Multiple of 405,489,864 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 405,489,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,489,864) = 3

common factors(in case of two or more numbers have common factors) = 27

GCF(405,489,864) x common factors =3 x 27 = 81

LCM(405,489,864) = ( 405 × 489 × 864 ) / 81

LCM(405,489,864) = 171110880 / 81

LCM(405,489,864) = 2112480


Lets's calculate GCF of 93,77,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2112480/1

Therefore the LCM of Fractions 405/93,489/77,864/428 is 2112480

Greatest Common Factor of 93,77,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,77,428 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 93,77,428 . The biggest common factor number is the GCF number.
So the greatest common factor 93,77,428 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 405/93, 489/77, 864/428

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 405/93, 489/77, 864/428?

Answer: LCM of Numerators as per given numbers 405/93, 489/77, 864/428 is

LCM of Numerators i.e. for 405,489,864 is 2112480

GCF of denominators i.e. for 93,77,428 is 1.

Thus, LCM of Fractions is 2112480.Finally, LCM of Fractions for 405/93, 489/77, 864/428 is 2112480.