Least Common Multiple of 27/967, 814/463, 109/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/967, 814/463, 109/592 quickly i.e. 2395602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/967, 814/463, 109/592 is 2395602.

LCM(27/967, 814/463, 109/592) = 2395602

LCM of 27/967, 814/463, 109/592

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 27/967,814/463,109/592

Given numbers are 27/967,814/463,109/592

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 27,814,109

Least Common Multiple of Numerators i.e. LCM of 27,814,109 is 2395602.

GCF of Denominators means GCF of 967,463,592 as per the given fractions.

GCF of 967,463,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,814,109

LCM of Fractions 27/967,814/463,109/592 is 2395602

Given numbers has no common factors except 1. So, there LCM is their product i.e 2395602

Least Common Multiple of 27,814,109 with GCF Formula

Least Common Multiple of 27,814,109 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 27,814,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,814,109) = 1

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

GCF(27,814,109) x common factors =1 x 1 = 1

LCM(27,814,109) = ( 27 × 814 × 109 ) / 1

LCM(27,814,109) = 2395602 / 1

LCM(27,814,109) = 2395602


Lets's calculate GCF of 967,463,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2395602/1

Therefore the LCM of Fractions 27/967,814/463,109/592 is 2395602

Greatest Common Factor of 967,463,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,463,592 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 967,463,592 . The biggest common factor number is the GCF number.
So the greatest common factor 967,463,592 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 27/967, 814/463, 109/592

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 27/967, 814/463, 109/592?

Answer: LCM of Numerators as per given numbers 27/967, 814/463, 109/592 is

LCM of Numerators i.e. for 27,814,109 is 2395602

GCF of denominators i.e. for 967,463,592 is 1.

Thus, LCM of Fractions is 2395602.Finally, LCM of Fractions for 27/967, 814/463, 109/592 is 2395602.