Least Common Multiple of 460/978, 6686/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 460/978, 6686/423 quickly i.e. 1537780/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 460/978, 6686/423 is 1537780/3.

LCM(460/978, 6686/423) = 1537780/3

LCM of 460/978, 6686/423

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 460/978,6686/423

Given numbers are 460/978,6686/423

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 460,6686

Least Common Multiple of Numerators i.e. LCM of 460,6686 is 1537780.

GCF of Denominators means GCF of 978,423 as per the given fractions.

GCF of 978,423 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 460,6686

LCM of Fractions 460/978,6686/423 is 1537780/3

2 460, 6686
230, 3343

∴ So the LCM of the given numbers is 2 x 230 x 3343 = 1537780

Least Common Multiple of 460,6686 with GCF Formula

Least Common Multiple of 460,6686 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 460,6686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,6686) = 2

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

GCF(460,6686) x common factors =2 x 1 = 2

LCM(460,6686) = ( 460 × 6686 ) / 2

LCM(460,6686) = 3075560 / 2

LCM(460,6686) = 1537780


Lets's calculate GCF of 978,423

3 978, 423
326, 141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1537780/3

Therefore the LCM of Fractions 460/978,6686/423 is 1537780/3

Greatest Common Factor of 978,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,423 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 978,423 . The biggest common factor number is the GCF number.
So the greatest common factor 978,423 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 460/978, 6686/423

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 460/978, 6686/423?

Answer: LCM of Numerators as per given numbers 460/978, 6686/423 is

LCM of Numerators i.e. for 460,6686 is 1537780

GCF of denominators i.e. for 978,423 is 3.

Thus, LCM of Fractions is 1537780/3.Finally, LCM of Fractions for 460/978, 6686/423 is 1537780/3.