Least Common Multiple of 638/27, 703/89, 511/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 638/27, 703/89, 511/113 quickly i.e. 229190654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 638/27, 703/89, 511/113 is 229190654.

LCM(638/27, 703/89, 511/113) = 229190654

LCM of 638/27, 703/89, 511/113

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 638/27,703/89,511/113

Given numbers are 638/27,703/89,511/113

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 638,703,511

Least Common Multiple of Numerators i.e. LCM of 638,703,511 is 229190654.

GCF of Denominators means GCF of 27,89,113 as per the given fractions.

GCF of 27,89,113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 638,703,511

LCM of Fractions 638/27,703/89,511/113 is 229190654

Given numbers has no common factors except 1. So, there LCM is their product i.e 229190654

Least Common Multiple of 638,703,511 with GCF Formula

Least Common Multiple of 638,703,511 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 638,703,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,703,511) = 1

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

GCF(638,703,511) x common factors =1 x 1 = 1

LCM(638,703,511) = ( 638 × 703 × 511 ) / 1

LCM(638,703,511) = 229190654 / 1

LCM(638,703,511) = 229190654


Lets's calculate GCF of 27,89,113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229190654/1

Therefore the LCM of Fractions 638/27,703/89,511/113 is 229190654

Greatest Common Factor of 27,89,113 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,89,113 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors 27,89,113 . The biggest common factor number is the GCF number.
So the greatest common factor 27,89,113 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 638/27, 703/89, 511/113

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 638/27, 703/89, 511/113?

Answer: LCM of Numerators as per given numbers 638/27, 703/89, 511/113 is

LCM of Numerators i.e. for 638,703,511 is 229190654

GCF of denominators i.e. for 27,89,113 is 1.

Thus, LCM of Fractions is 229190654.Finally, LCM of Fractions for 638/27, 703/89, 511/113 is 229190654.