Least Common Multiple of 47/428, 794/212, 444/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/428, 794/212, 444/853 quickly i.e. 8284596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/428, 794/212, 444/853 is 8284596.

LCM(47/428, 794/212, 444/853) = 8284596

LCM of 47/428, 794/212, 444/853

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 47/428,794/212,444/853

Given numbers are 47/428,794/212,444/853

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 47,794,444

Least Common Multiple of Numerators i.e. LCM of 47,794,444 is 8284596.

GCF of Denominators means GCF of 428,212,853 as per the given fractions.

GCF of 428,212,853 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,794,444

LCM of Fractions 47/428,794/212,444/853 is 8284596

2 47, 794, 444
47, 397, 222

∴ So the LCM of the given numbers is 2 x 47 x 397 x 222 = 8284596

Least Common Multiple of 47,794,444 with GCF Formula

Least Common Multiple of 47,794,444 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 47,794,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,794,444) = 1

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

GCF(47,794,444) x common factors =1 x 2 = 2

LCM(47,794,444) = ( 47 × 794 × 444 ) / 2

LCM(47,794,444) = 16569192 / 2

LCM(47,794,444) = 8284596


Lets's calculate GCF of 428,212,853

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8284596/1

Therefore the LCM of Fractions 47/428,794/212,444/853 is 8284596

Greatest Common Factor of 428,212,853 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,212,853 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Greatest Common Factor

We found the factors 428,212,853 . The biggest common factor number is the GCF number.
So the greatest common factor 428,212,853 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 47/428, 794/212, 444/853

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 47/428, 794/212, 444/853?

Answer: LCM of Numerators as per given numbers 47/428, 794/212, 444/853 is

LCM of Numerators i.e. for 47,794,444 is 8284596

GCF of denominators i.e. for 428,212,853 is 1.

Thus, LCM of Fractions is 8284596.Finally, LCM of Fractions for 47/428, 794/212, 444/853 is 8284596.