Least Common Multiple of 852/921, 2405/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/921, 2405/543 quickly i.e. 683020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/921, 2405/543 is 683020.

LCM(852/921, 2405/543) = 683020

LCM of 852/921, 2405/543

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 852/921,2405/543

Given numbers are 852/921,2405/543

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 852,2405

Least Common Multiple of Numerators i.e. LCM of 852,2405 is 2049060.

GCF of Denominators means GCF of 921,543 as per the given fractions.

GCF of 921,543 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,2405

LCM of Fractions 852/921,2405/543 is 683020

Given numbers has no common factors except 1. So, there LCM is their product i.e 2049060

Least Common Multiple of 852,2405 with GCF Formula

Least Common Multiple of 852,2405 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 852,2405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,2405) = 1

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

GCF(852,2405) x common factors =1 x 1 = 1

LCM(852,2405) = ( 852 × 2405 ) / 1

LCM(852,2405) = 2049060 / 1

LCM(852,2405) = 2049060


Lets's calculate GCF of 921,543

3 921, 543
307, 181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2049060/3

Therefore the LCM of Fractions 852/921,2405/543 is 683020

Greatest Common Factor of 921,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,543 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 921,543 . The biggest common factor number is the GCF number.
So the greatest common factor 921,543 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 852/921, 2405/543

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 852/921, 2405/543?

Answer: LCM of Numerators as per given numbers 852/921, 2405/543 is

LCM of Numerators i.e. for 852,2405 is 2049060

GCF of denominators i.e. for 921,543 is 3.

Thus, LCM of Fractions is 683020.Finally, LCM of Fractions for 852/921, 2405/543 is 683020.