Least Common Multiple of 82/140, 919/436, 481/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/140, 919/436, 481/543 quickly i.e. 36247198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/140, 919/436, 481/543 is 36247198.

LCM(82/140, 919/436, 481/543) = 36247198

LCM of 82/140, 919/436, 481/543

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 82/140,919/436,481/543

Given numbers are 82/140,919/436,481/543

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 82,919,481

Least Common Multiple of Numerators i.e. LCM of 82,919,481 is 36247198.

GCF of Denominators means GCF of 140,436,543 as per the given fractions.

GCF of 140,436,543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,919,481

LCM of Fractions 82/140,919/436,481/543 is 36247198

Given numbers has no common factors except 1. So, there LCM is their product i.e 36247198

Least Common Multiple of 82,919,481 with GCF Formula

Least Common Multiple of 82,919,481 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 82,919,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,919,481) = 1

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

GCF(82,919,481) x common factors =1 x 1 = 1

LCM(82,919,481) = ( 82 × 919 × 481 ) / 1

LCM(82,919,481) = 36247198 / 1

LCM(82,919,481) = 36247198


Lets's calculate GCF of 140,436,543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36247198/1

Therefore the LCM of Fractions 82/140,919/436,481/543 is 36247198

Greatest Common Factor of 140,436,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,436,543 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 543

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

1,3,181,543

Greatest Common Factor

We found the factors 140,436,543 . The biggest common factor number is the GCF number.
So the greatest common factor 140,436,543 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 82/140, 919/436, 481/543

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 82/140, 919/436, 481/543?

Answer: LCM of Numerators as per given numbers 82/140, 919/436, 481/543 is

LCM of Numerators i.e. for 82,919,481 is 36247198

GCF of denominators i.e. for 140,436,543 is 1.

Thus, LCM of Fractions is 36247198.Finally, LCM of Fractions for 82/140, 919/436, 481/543 is 36247198.