Least Common Multiple of 23/447, 81/205, 678/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/447, 81/205, 678/740 quickly i.e. 421038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/447, 81/205, 678/740 is 421038.

LCM(23/447, 81/205, 678/740) = 421038

LCM of 23/447, 81/205, 678/740

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 23/447,81/205,678/740

Given numbers are 23/447,81/205,678/740

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 23,81,678

Least Common Multiple of Numerators i.e. LCM of 23,81,678 is 421038.

GCF of Denominators means GCF of 447,205,740 as per the given fractions.

GCF of 447,205,740 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,81,678

LCM of Fractions 23/447,81/205,678/740 is 421038

3 23, 81, 678
23, 27, 226

∴ So the LCM of the given numbers is 3 x 23 x 27 x 226 = 421038

Least Common Multiple of 23,81,678 with GCF Formula

Least Common Multiple of 23,81,678 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 23,81,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,81,678) = 1

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

GCF(23,81,678) x common factors =1 x 3 = 3

LCM(23,81,678) = ( 23 × 81 × 678 ) / 3

LCM(23,81,678) = 1263114 / 3

LCM(23,81,678) = 421038


Lets's calculate GCF of 447,205,740

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 421038/1

Therefore the LCM of Fractions 23/447,81/205,678/740 is 421038

Greatest Common Factor of 447,205,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,205,740 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 447,205,740 . The biggest common factor number is the GCF number.
So the greatest common factor 447,205,740 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 23/447, 81/205, 678/740

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 23/447, 81/205, 678/740?

Answer: LCM of Numerators as per given numbers 23/447, 81/205, 678/740 is

LCM of Numerators i.e. for 23,81,678 is 421038

GCF of denominators i.e. for 447,205,740 is 1.

Thus, LCM of Fractions is 421038.Finally, LCM of Fractions for 23/447, 81/205, 678/740 is 421038.