Least Common Multiple of 320/852, 686/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/852, 686/489 quickly i.e. 109760/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/852, 686/489 is 109760/3.

LCM(320/852, 686/489) = 109760/3

LCM of 320/852, 686/489

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 320/852,686/489

Given numbers are 320/852,686/489

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 320,686

Least Common Multiple of Numerators i.e. LCM of 320,686 is 109760.

GCF of Denominators means GCF of 852,489 as per the given fractions.

GCF of 852,489 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,686

LCM of Fractions 320/852,686/489 is 109760/3

2 320, 686
160, 343

∴ So the LCM of the given numbers is 2 x 160 x 343 = 109760

Least Common Multiple of 320,686 with GCF Formula

Least Common Multiple of 320,686 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 320,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,686) = 2

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

GCF(320,686) x common factors =2 x 1 = 2

LCM(320,686) = ( 320 × 686 ) / 2

LCM(320,686) = 219520 / 2

LCM(320,686) = 109760


Lets's calculate GCF of 852,489

3 852, 489
284, 163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109760/3

Therefore the LCM of Fractions 320/852,686/489 is 109760/3

Greatest Common Factor of 852,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,489 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 852,489 . The biggest common factor number is the GCF number.
So the greatest common factor 852,489 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 320/852, 686/489

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 320/852, 686/489?

Answer: LCM of Numerators as per given numbers 320/852, 686/489 is

LCM of Numerators i.e. for 320,686 is 109760

GCF of denominators i.e. for 852,489 is 3.

Thus, LCM of Fractions is 109760/3.Finally, LCM of Fractions for 320/852, 686/489 is 109760/3.