Least Common Multiple of 11/287, 74/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/287, 74/697 quickly i.e. 814/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/287, 74/697 is 814/41.

LCM(11/287, 74/697) = 814/41

LCM of 11/287, 74/697

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 11/287,74/697

Given numbers are 11/287,74/697

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 11,74

Least Common Multiple of Numerators i.e. LCM of 11,74 is 814.

GCF of Denominators means GCF of 287,697 as per the given fractions.

GCF of 287,697 is 41 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,74

LCM of Fractions 11/287,74/697 is 814/41

Given numbers has no common factors except 1. So, there LCM is their product i.e 814

Least Common Multiple of 11,74 with GCF Formula

Least Common Multiple of 11,74 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 11,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,74) = 1

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

GCF(11,74) x common factors =1 x 1 = 1

LCM(11,74) = ( 11 × 74 ) / 1

LCM(11,74) = 814 / 1

LCM(11,74) = 814


Lets's calculate GCF of 287,697

41 287, 697
7, 17

∴ So the GCF of the given numbers is 41 = 41

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 814/41

Therefore the LCM of Fractions 11/287,74/697 is 814/41

Greatest Common Factor of 287,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,697 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 287,697 . The biggest common factor number is the GCF number.
So the greatest common factor 287,697 is 41.


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 11/287, 74/697

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 11/287, 74/697?

Answer: LCM of Numerators as per given numbers 11/287, 74/697 is

LCM of Numerators i.e. for 11,74 is 814

GCF of denominators i.e. for 287,697 is 41.

Thus, LCM of Fractions is 814/41.Finally, LCM of Fractions for 11/287, 74/697 is 814/41.