Least Common Multiple of 454/473, 833/400, 214/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 454/473, 833/400, 214/244 quickly i.e. 40465474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 454/473, 833/400, 214/244 is 40465474.

LCM(454/473, 833/400, 214/244) = 40465474

LCM of 454/473, 833/400, 214/244

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 454/473,833/400,214/244

Given numbers are 454/473,833/400,214/244

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 454,833,214

Least Common Multiple of Numerators i.e. LCM of 454,833,214 is 40465474.

GCF of Denominators means GCF of 473,400,244 as per the given fractions.

GCF of 473,400,244 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 454,833,214

LCM of Fractions 454/473,833/400,214/244 is 40465474

2 454, 833, 214
227, 833, 107

∴ So the LCM of the given numbers is 2 x 227 x 833 x 107 = 40465474

Least Common Multiple of 454,833,214 with GCF Formula

Least Common Multiple of 454,833,214 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 454,833,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,833,214) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(454,833,214) x common factors =1 x 2 = 2

LCM(454,833,214) = ( 454 × 833 × 214 ) / 2

LCM(454,833,214) = 80930948 / 2

LCM(454,833,214) = 40465474


Lets's calculate GCF of 473,400,244

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40465474/1

Therefore the LCM of Fractions 454/473,833/400,214/244 is 40465474

Greatest Common Factor of 473,400,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 473,400,244 By Matching Biggest Common Factor Method

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 473,400,244 . The biggest common factor number is the GCF number.
So the greatest common factor 473,400,244 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 454/473, 833/400, 214/244

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 454/473, 833/400, 214/244?

Answer: LCM of Numerators as per given numbers 454/473, 833/400, 214/244 is

LCM of Numerators i.e. for 454,833,214 is 40465474

GCF of denominators i.e. for 473,400,244 is 1.

Thus, LCM of Fractions is 40465474.Finally, LCM of Fractions for 454/473, 833/400, 214/244 is 40465474.