Least Common Multiple of 612/72, 321/8488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 612/72, 321/8488 quickly i.e. 65484/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 612/72, 321/8488 is 65484/8.

LCM(612/72, 321/8488) = 65484/8

LCM of 612/72, 321/8488

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 612/72,321/8488

Given numbers are 612/72,321/8488

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 612,321

Least Common Multiple of Numerators i.e. LCM of 612,321 is 65484.

GCF of Denominators means GCF of 72,8488 as per the given fractions.

GCF of 72,8488 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 612,321

LCM of Fractions 612/72,321/8488 is 65484/8

3 612, 321
204, 107

∴ So the LCM of the given numbers is 3 x 204 x 107 = 65484

Least Common Multiple of 612,321 with GCF Formula

Least Common Multiple of 612,321 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 612,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,321) = 3

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

GCF(612,321) x common factors =3 x 1 = 3

LCM(612,321) = ( 612 × 321 ) / 3

LCM(612,321) = 196452 / 3

LCM(612,321) = 65484


Lets's calculate GCF of 72,8488

2 72, 8488
2 36, 4244
2 18, 2122
9, 1061

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65484/8

Therefore the LCM of Fractions 612/72,321/8488 is 65484/8

Greatest Common Factor of 72,8488 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,8488 By Matching Biggest Common Factor Method

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 8488

List of positive integer factors of 8488 that divides 8488 without a remainder.

1,2,4,8,1061,2122,4244,8488

Greatest Common Factor

We found the factors 72,8488 . The biggest common factor number is the GCF number.
So the greatest common factor 72,8488 is 8.


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 612/72, 321/8488

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 612/72, 321/8488?

Answer: LCM of Numerators as per given numbers 612/72, 321/8488 is

LCM of Numerators i.e. for 612,321 is 65484

GCF of denominators i.e. for 72,8488 is 8.

Thus, LCM of Fractions is 65484/8.Finally, LCM of Fractions for 612/72, 321/8488 is 65484/8.