Least Common Multiple of 9426/477, 8433/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9426/477, 8433/212 quickly i.e. 26496486/53 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9426/477, 8433/212 is 26496486/53.

LCM(9426/477, 8433/212) = 26496486/53

LCM of 9426/477, 8433/212

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 9426/477,8433/212

Given numbers are 9426/477,8433/212

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 9426,8433

Least Common Multiple of Numerators i.e. LCM of 9426,8433 is 26496486.

GCF of Denominators means GCF of 477,212 as per the given fractions.

GCF of 477,212 is 53 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9426,8433

LCM of Fractions 9426/477,8433/212 is 26496486/53

3 9426, 8433
3142, 2811

∴ So the LCM of the given numbers is 3 x 3142 x 2811 = 26496486

Least Common Multiple of 9426,8433 with GCF Formula

Least Common Multiple of 9426,8433 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 9426,8433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9426,8433) = 3

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

GCF(9426,8433) x common factors =3 x 1 = 3

LCM(9426,8433) = ( 9426 × 8433 ) / 3

LCM(9426,8433) = 79489458 / 3

LCM(9426,8433) = 26496486


Lets's calculate GCF of 477,212

53 477, 212
9, 4

∴ So the GCF of the given numbers is 53 = 53

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26496486/53

Therefore the LCM of Fractions 9426/477,8433/212 is 26496486/53

Greatest Common Factor of 477,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,212 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 212

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

1,2,4,53,106,212

Greatest Common Factor

We found the factors 477,212 . The biggest common factor number is the GCF number.
So the greatest common factor 477,212 is 53.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 9426/477, 8433/212

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 9426/477, 8433/212?

Answer: LCM of Numerators as per given numbers 9426/477, 8433/212 is

LCM of Numerators i.e. for 9426,8433 is 26496486

GCF of denominators i.e. for 477,212 is 53.

Thus, LCM of Fractions is 26496486/53.Finally, LCM of Fractions for 9426/477, 8433/212 is 26496486/53.