Least Common Multiple of 63/30, 489/96, 575/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/30, 489/96, 575/669 quickly i.e. 1968225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/30, 489/96, 575/669 is 1968225.

LCM(63/30, 489/96, 575/669) = 1968225

LCM of 63/30, 489/96, 575/669

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 63/30,489/96,575/669

Given numbers are 63/30,489/96,575/669

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 63,489,575

Least Common Multiple of Numerators i.e. LCM of 63,489,575 is 5904675.

GCF of Denominators means GCF of 30,96,669 as per the given fractions.

GCF of 30,96,669 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,489,575

LCM of Fractions 63/30,489/96,575/669 is 1968225

3 63, 489, 575
21, 163, 575

∴ So the LCM of the given numbers is 3 x 21 x 163 x 575 = 5904675

Least Common Multiple of 63,489,575 with GCF Formula

Least Common Multiple of 63,489,575 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 63,489,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,489,575) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(63,489,575) x common factors =1 x 3 = 3

LCM(63,489,575) = ( 63 × 489 × 575 ) / 3

LCM(63,489,575) = 17714025 / 3

LCM(63,489,575) = 5904675


Lets's calculate GCF of 30,96,669

3 30, 96, 669
10, 32, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5904675/3

Therefore the LCM of Fractions 63/30,489/96,575/669 is 1968225

Greatest Common Factor of 30,96,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,96,669 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 30,96,669 . The biggest common factor number is the GCF number.
So the greatest common factor 30,96,669 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 63/30, 489/96, 575/669

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 63/30, 489/96, 575/669?

Answer: LCM of Numerators as per given numbers 63/30, 489/96, 575/669 is

LCM of Numerators i.e. for 63,489,575 is 5904675

GCF of denominators i.e. for 30,96,669 is 3.

Thus, LCM of Fractions is 1968225.Finally, LCM of Fractions for 63/30, 489/96, 575/669 is 1968225.