Least Common Multiple of 81/920, 681/43, 775/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/920, 681/43, 775/344 quickly i.e. 14249925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/920, 681/43, 775/344 is 14249925.

LCM(81/920, 681/43, 775/344) = 14249925

LCM of 81/920, 681/43, 775/344

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 81/920,681/43,775/344

Given numbers are 81/920,681/43,775/344

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 81,681,775

Least Common Multiple of Numerators i.e. LCM of 81,681,775 is 14249925.

GCF of Denominators means GCF of 920,43,344 as per the given fractions.

GCF of 920,43,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,681,775

LCM of Fractions 81/920,681/43,775/344 is 14249925

3 81, 681, 775
27, 227, 775

∴ So the LCM of the given numbers is 3 x 27 x 227 x 775 = 14249925

Least Common Multiple of 81,681,775 with GCF Formula

Least Common Multiple of 81,681,775 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 81,681,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,681,775) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,681,775) x common factors =1 x 3 = 3

LCM(81,681,775) = ( 81 × 681 × 775 ) / 3

LCM(81,681,775) = 42749775 / 3

LCM(81,681,775) = 14249925


Lets's calculate GCF of 920,43,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14249925/1

Therefore the LCM of Fractions 81/920,681/43,775/344 is 14249925

Greatest Common Factor of 920,43,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,43,344 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 920,43,344 . The biggest common factor number is the GCF number.
So the greatest common factor 920,43,344 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 81/920, 681/43, 775/344

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 81/920, 681/43, 775/344?

Answer: LCM of Numerators as per given numbers 81/920, 681/43, 775/344 is

LCM of Numerators i.e. for 81,681,775 is 14249925

GCF of denominators i.e. for 920,43,344 is 1.

Thus, LCM of Fractions is 14249925.Finally, LCM of Fractions for 81/920, 681/43, 775/344 is 14249925.