Least Common Multiple of 535/57, 801/2844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 535/57, 801/2844 quickly i.e. 142845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 535/57, 801/2844 is 142845.

LCM(535/57, 801/2844) = 142845

LCM of 535/57, 801/2844

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 535/57,801/2844

Given numbers are 535/57,801/2844

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 535,801

Least Common Multiple of Numerators i.e. LCM of 535,801 is 428535.

GCF of Denominators means GCF of 57,2844 as per the given fractions.

GCF of 57,2844 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 535,801

LCM of Fractions 535/57,801/2844 is 142845

Given numbers has no common factors except 1. So, there LCM is their product i.e 428535

Least Common Multiple of 535,801 with GCF Formula

Least Common Multiple of 535,801 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 535,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,801) = 1

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

GCF(535,801) x common factors =1 x 1 = 1

LCM(535,801) = ( 535 × 801 ) / 1

LCM(535,801) = 428535 / 1

LCM(535,801) = 428535


Lets's calculate GCF of 57,2844

3 57, 2844
19, 948

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428535/3

Therefore the LCM of Fractions 535/57,801/2844 is 142845

Greatest Common Factor of 57,2844 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,2844 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 2844

List of positive integer factors of 2844 that divides 2844 without a remainder.

1,2,3,4,6,9,12,18,36,79,158,237,316,474,711,948,1422,2844

Greatest Common Factor

We found the factors 57,2844 . The biggest common factor number is the GCF number.
So the greatest common factor 57,2844 is 3.


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 535/57, 801/2844

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 535/57, 801/2844?

Answer: LCM of Numerators as per given numbers 535/57, 801/2844 is

LCM of Numerators i.e. for 535,801 is 428535

GCF of denominators i.e. for 57,2844 is 3.

Thus, LCM of Fractions is 142845.Finally, LCM of Fractions for 535/57, 801/2844 is 142845.