Least Common Multiple of 753/630, 489/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 753/630, 489/372 quickly i.e. 122739/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 753/630, 489/372 is 122739/6.

LCM(753/630, 489/372) = 122739/6

LCM of 753/630, 489/372

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 753/630,489/372

Given numbers are 753/630,489/372

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 753,489

Least Common Multiple of Numerators i.e. LCM of 753,489 is 122739.

GCF of Denominators means GCF of 630,372 as per the given fractions.

GCF of 630,372 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 753,489

LCM of Fractions 753/630,489/372 is 122739/6

3 753, 489
251, 163

∴ So the LCM of the given numbers is 3 x 251 x 163 = 122739

Least Common Multiple of 753,489 with GCF Formula

Least Common Multiple of 753,489 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 753,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,489) = 3

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

GCF(753,489) x common factors =3 x 1 = 3

LCM(753,489) = ( 753 × 489 ) / 3

LCM(753,489) = 368217 / 3

LCM(753,489) = 122739


Lets's calculate GCF of 630,372

2 630, 372
3 315, 186
105, 62

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122739/6

Therefore the LCM of Fractions 753/630,489/372 is 122739/6

Greatest Common Factor of 630,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,372 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 630,372 . The biggest common factor number is the GCF number.
So the greatest common factor 630,372 is 6.


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 753/630, 489/372

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 753/630, 489/372?

Answer: LCM of Numerators as per given numbers 753/630, 489/372 is

LCM of Numerators i.e. for 753,489 is 122739

GCF of denominators i.e. for 630,372 is 6.

Thus, LCM of Fractions is 122739/6.Finally, LCM of Fractions for 753/630, 489/372 is 122739/6.