Least Common Multiple of 13/893, 19/244, 429/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/893, 19/244, 429/253 quickly i.e. 8151 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/893, 19/244, 429/253 is 8151.

LCM(13/893, 19/244, 429/253) = 8151

LCM of 13/893, 19/244, 429/253

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 13/893,19/244,429/253

Given numbers are 13/893,19/244,429/253

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 13,19,429

Least Common Multiple of Numerators i.e. LCM of 13,19,429 is 8151.

GCF of Denominators means GCF of 893,244,253 as per the given fractions.

GCF of 893,244,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,19,429

LCM of Fractions 13/893,19/244,429/253 is 8151

13 13, 19, 429
1, 19, 33

∴ So the LCM of the given numbers is 13 x 1 x 19 x 33 = 8151

Least Common Multiple of 13,19,429 with GCF Formula

Least Common Multiple of 13,19,429 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 13,19,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,19,429) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(13,19,429) x common factors =1 x 13 = 13

LCM(13,19,429) = ( 13 × 19 × 429 ) / 13

LCM(13,19,429) = 105963 / 13

LCM(13,19,429) = 8151


Lets's calculate GCF of 893,244,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8151/1

Therefore the LCM of Fractions 13/893,19/244,429/253 is 8151

Greatest Common Factor of 893,244,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,244,253 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 244

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

1,2,4,61,122,244

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 893,244,253 . The biggest common factor number is the GCF number.
So the greatest common factor 893,244,253 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/893, 19/244, 429/253

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 13/893, 19/244, 429/253?

Answer: LCM of Numerators as per given numbers 13/893, 19/244, 429/253 is

LCM of Numerators i.e. for 13,19,429 is 8151

GCF of denominators i.e. for 893,244,253 is 1.

Thus, LCM of Fractions is 8151.Finally, LCM of Fractions for 13/893, 19/244, 429/253 is 8151.