Least Common Multiple of 728/897, 737/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 728/897, 737/696 quickly i.e. 536536/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/897, 737/696 is 536536/3.

LCM(728/897, 737/696) = 536536/3

LCM of 728/897, 737/696

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 728/897,737/696

Given numbers are 728/897,737/696

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 728,737

Least Common Multiple of Numerators i.e. LCM of 728,737 is 536536.

GCF of Denominators means GCF of 897,696 as per the given fractions.

GCF of 897,696 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,737

LCM of Fractions 728/897,737/696 is 536536/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 536536

Least Common Multiple of 728,737 with GCF Formula

Least Common Multiple of 728,737 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 728,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,737) = 1

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

GCF(728,737) x common factors =1 x 1 = 1

LCM(728,737) = ( 728 × 737 ) / 1

LCM(728,737) = 536536 / 1

LCM(728,737) = 536536


Lets's calculate GCF of 897,696

3 897, 696
299, 232

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 536536/3

Therefore the LCM of Fractions 728/897,737/696 is 536536/3

Greatest Common Factor of 897,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,696 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 897,696 . The biggest common factor number is the GCF number.
So the greatest common factor 897,696 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 728/897, 737/696

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 728/897, 737/696?

Answer: LCM of Numerators as per given numbers 728/897, 737/696 is

LCM of Numerators i.e. for 728,737 is 536536

GCF of denominators i.e. for 897,696 is 3.

Thus, LCM of Fractions is 536536/3.Finally, LCM of Fractions for 728/897, 737/696 is 536536/3.