Least Common Multiple of 704/774, 349/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/774, 349/592 quickly i.e. 122848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/774, 349/592 is 122848.

LCM(704/774, 349/592) = 122848

LCM of 704/774, 349/592

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 704/774,349/592

Given numbers are 704/774,349/592

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 704,349

Least Common Multiple of Numerators i.e. LCM of 704,349 is 245696.

GCF of Denominators means GCF of 774,592 as per the given fractions.

GCF of 774,592 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,349

LCM of Fractions 704/774,349/592 is 122848

Given numbers has no common factors except 1. So, there LCM is their product i.e 245696

Least Common Multiple of 704,349 with GCF Formula

Least Common Multiple of 704,349 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 704,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,349) = 1

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

GCF(704,349) x common factors =1 x 1 = 1

LCM(704,349) = ( 704 × 349 ) / 1

LCM(704,349) = 245696 / 1

LCM(704,349) = 245696


Lets's calculate GCF of 774,592

2 774, 592
387, 296

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245696/2

Therefore the LCM of Fractions 704/774,349/592 is 122848

Greatest Common Factor of 774,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,592 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

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 774,592 . The biggest common factor number is the GCF number.
So the greatest common factor 774,592 is 2.


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 704/774, 349/592

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 704/774, 349/592?

Answer: LCM of Numerators as per given numbers 704/774, 349/592 is

LCM of Numerators i.e. for 704,349 is 245696

GCF of denominators i.e. for 774,592 is 2.

Thus, LCM of Fractions is 122848.Finally, LCM of Fractions for 704/774, 349/592 is 122848.