Least Common Multiple of 43/11, 13/30, 686/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/11, 13/30, 686/297 quickly i.e. 383474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/11, 13/30, 686/297 is 383474.

LCM(43/11, 13/30, 686/297) = 383474

LCM of 43/11, 13/30, 686/297

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 43/11,13/30,686/297

Given numbers are 43/11,13/30,686/297

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 43,13,686

Least Common Multiple of Numerators i.e. LCM of 43,13,686 is 383474.

GCF of Denominators means GCF of 11,30,297 as per the given fractions.

GCF of 11,30,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,13,686

LCM of Fractions 43/11,13/30,686/297 is 383474

Given numbers has no common factors except 1. So, there LCM is their product i.e 383474

Least Common Multiple of 43,13,686 with GCF Formula

Least Common Multiple of 43,13,686 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 43,13,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,13,686) = 1

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

GCF(43,13,686) x common factors =1 x 1 = 1

LCM(43,13,686) = ( 43 × 13 × 686 ) / 1

LCM(43,13,686) = 383474 / 1

LCM(43,13,686) = 383474


Lets's calculate GCF of 11,30,297

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383474/1

Therefore the LCM of Fractions 43/11,13/30,686/297 is 383474

Greatest Common Factor of 11,30,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,30,297 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

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 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 11,30,297 . The biggest common factor number is the GCF number.
So the greatest common factor 11,30,297 is 1.


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 43/11, 13/30, 686/297

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 43/11, 13/30, 686/297?

Answer: LCM of Numerators as per given numbers 43/11, 13/30, 686/297 is

LCM of Numerators i.e. for 43,13,686 is 383474

GCF of denominators i.e. for 11,30,297 is 1.

Thus, LCM of Fractions is 383474.Finally, LCM of Fractions for 43/11, 13/30, 686/297 is 383474.