Least Common Multiple of 393/923, 948/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 393/923, 948/403 quickly i.e. 124188/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 393/923, 948/403 is 124188/13.

LCM(393/923, 948/403) = 124188/13

LCM of 393/923, 948/403

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 393/923,948/403

Given numbers are 393/923,948/403

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 393,948

Least Common Multiple of Numerators i.e. LCM of 393,948 is 124188.

GCF of Denominators means GCF of 923,403 as per the given fractions.

GCF of 923,403 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 393,948

LCM of Fractions 393/923,948/403 is 124188/13

3 393, 948
131, 316

∴ So the LCM of the given numbers is 3 x 131 x 316 = 124188

Least Common Multiple of 393,948 with GCF Formula

Least Common Multiple of 393,948 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 393,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,948) = 3

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

GCF(393,948) x common factors =3 x 1 = 3

LCM(393,948) = ( 393 × 948 ) / 3

LCM(393,948) = 372564 / 3

LCM(393,948) = 124188


Lets's calculate GCF of 923,403

13 923, 403
71, 31

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124188/13

Therefore the LCM of Fractions 393/923,948/403 is 124188/13

Greatest Common Factor of 923,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,403 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 923,403 . The biggest common factor number is the GCF number.
So the greatest common factor 923,403 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 393/923, 948/403

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 393/923, 948/403?

Answer: LCM of Numerators as per given numbers 393/923, 948/403 is

LCM of Numerators i.e. for 393,948 is 124188

GCF of denominators i.e. for 923,403 is 13.

Thus, LCM of Fractions is 124188/13.Finally, LCM of Fractions for 393/923, 948/403 is 124188/13.