Least Common Multiple of 827/11, 368/85, 535/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/11, 368/85, 535/44 quickly i.e. 162819760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/11, 368/85, 535/44 is 162819760.

LCM(827/11, 368/85, 535/44) = 162819760

LCM of 827/11, 368/85, 535/44

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 827/11,368/85,535/44

Given numbers are 827/11,368/85,535/44

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 827,368,535

Least Common Multiple of Numerators i.e. LCM of 827,368,535 is 162819760.

GCF of Denominators means GCF of 11,85,44 as per the given fractions.

GCF of 11,85,44 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,368,535

LCM of Fractions 827/11,368/85,535/44 is 162819760

Given numbers has no common factors except 1. So, there LCM is their product i.e 162819760

Least Common Multiple of 827,368,535 with GCF Formula

Least Common Multiple of 827,368,535 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 827,368,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,368,535) = 1

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

GCF(827,368,535) x common factors =1 x 1 = 1

LCM(827,368,535) = ( 827 × 368 × 535 ) / 1

LCM(827,368,535) = 162819760 / 1

LCM(827,368,535) = 162819760


Lets's calculate GCF of 11,85,44

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162819760/1

Therefore the LCM of Fractions 827/11,368/85,535/44 is 162819760

Greatest Common Factor of 11,85,44 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,85,44 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Greatest Common Factor

We found the factors 11,85,44 . The biggest common factor number is the GCF number.
So the greatest common factor 11,85,44 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 827/11, 368/85, 535/44

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 827/11, 368/85, 535/44?

Answer: LCM of Numerators as per given numbers 827/11, 368/85, 535/44 is

LCM of Numerators i.e. for 827,368,535 is 162819760

GCF of denominators i.e. for 11,85,44 is 1.

Thus, LCM of Fractions is 162819760.Finally, LCM of Fractions for 827/11, 368/85, 535/44 is 162819760.