Least Common Multiple of 53/73, 27/14, 713/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 53/73, 27/14, 713/428 quickly i.e. 1020303 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/73, 27/14, 713/428 is 1020303.

LCM(53/73, 27/14, 713/428) = 1020303

LCM of 53/73, 27/14, 713/428

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 53/73,27/14,713/428

Given numbers are 53/73,27/14,713/428

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 53,27,713

Least Common Multiple of Numerators i.e. LCM of 53,27,713 is 1020303.

GCF of Denominators means GCF of 73,14,428 as per the given fractions.

GCF of 73,14,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,27,713

LCM of Fractions 53/73,27/14,713/428 is 1020303

Given numbers has no common factors except 1. So, there LCM is their product i.e 1020303

Least Common Multiple of 53,27,713 with GCF Formula

Least Common Multiple of 53,27,713 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 53,27,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,27,713) = 1

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

GCF(53,27,713) x common factors =1 x 1 = 1

LCM(53,27,713) = ( 53 × 27 × 713 ) / 1

LCM(53,27,713) = 1020303 / 1

LCM(53,27,713) = 1020303


Lets's calculate GCF of 73,14,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1020303/1

Therefore the LCM of Fractions 53/73,27/14,713/428 is 1020303

Greatest Common Factor of 73,14,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,14,428 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 428

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

1,2,4,107,214,428

Greatest Common Factor

We found the factors 73,14,428 . The biggest common factor number is the GCF number.
So the greatest common factor 73,14,428 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 53/73, 27/14, 713/428

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 53/73, 27/14, 713/428?

Answer: LCM of Numerators as per given numbers 53/73, 27/14, 713/428 is

LCM of Numerators i.e. for 53,27,713 is 1020303

GCF of denominators i.e. for 73,14,428 is 1.

Thus, LCM of Fractions is 1020303.Finally, LCM of Fractions for 53/73, 27/14, 713/428 is 1020303.