Least Common Multiple of 14/543, 87/388, 247/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/543, 87/388, 247/905 quickly i.e. 300846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/543, 87/388, 247/905 is 300846.

LCM(14/543, 87/388, 247/905) = 300846

LCM of 14/543, 87/388, 247/905

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 14/543,87/388,247/905

Given numbers are 14/543,87/388,247/905

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 14,87,247

Least Common Multiple of Numerators i.e. LCM of 14,87,247 is 300846.

GCF of Denominators means GCF of 543,388,905 as per the given fractions.

GCF of 543,388,905 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,87,247

LCM of Fractions 14/543,87/388,247/905 is 300846

Given numbers has no common factors except 1. So, there LCM is their product i.e 300846

Least Common Multiple of 14,87,247 with GCF Formula

Least Common Multiple of 14,87,247 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 14,87,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,87,247) = 1

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

GCF(14,87,247) x common factors =1 x 1 = 1

LCM(14,87,247) = ( 14 × 87 × 247 ) / 1

LCM(14,87,247) = 300846 / 1

LCM(14,87,247) = 300846


Lets's calculate GCF of 543,388,905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300846/1

Therefore the LCM of Fractions 14/543,87/388,247/905 is 300846

Greatest Common Factor of 543,388,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,388,905 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 543,388,905 . The biggest common factor number is the GCF number.
So the greatest common factor 543,388,905 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 14/543, 87/388, 247/905

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 14/543, 87/388, 247/905?

Answer: LCM of Numerators as per given numbers 14/543, 87/388, 247/905 is

LCM of Numerators i.e. for 14,87,247 is 300846

GCF of denominators i.e. for 543,388,905 is 1.

Thus, LCM of Fractions is 300846.Finally, LCM of Fractions for 14/543, 87/388, 247/905 is 300846.