Least Common Multiple of 27/812, 59/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 27/812, 59/719 quickly i.e. 1593 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/812, 59/719 is 1593.

LCM(27/812, 59/719) = 1593

LCM of 27/812, 59/719

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 27/812,59/719

Given numbers are 27/812,59/719

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 27,59

Least Common Multiple of Numerators i.e. LCM of 27,59 is 1593.

GCF of Denominators means GCF of 812,719 as per the given fractions.

GCF of 812,719 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,59

LCM of Fractions 27/812,59/719 is 1593

Given numbers has no common factors except 1. So, there LCM is their product i.e 1593

Least Common Multiple of 27,59 with GCF Formula

Least Common Multiple of 27,59 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 27,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,59) = 1

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

GCF(27,59) x common factors =1 x 1 = 1

LCM(27,59) = ( 27 × 59 ) / 1

LCM(27,59) = 1593 / 1

LCM(27,59) = 1593


Lets's calculate GCF of 812,719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1593/1

Therefore the LCM of Fractions 27/812,59/719 is 1593

Greatest Common Factor of 812,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,719 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 812,719 . The biggest common factor number is the GCF number.
So the greatest common factor 812,719 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 27/812, 59/719

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 27/812, 59/719?

Answer: LCM of Numerators as per given numbers 27/812, 59/719 is

LCM of Numerators i.e. for 27,59 is 1593

GCF of denominators i.e. for 812,719 is 1.

Thus, LCM of Fractions is 1593.Finally, LCM of Fractions for 27/812, 59/719 is 1593.