Least Common Multiple of 3545/821, 3208/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3545/821, 3208/844 quickly i.e. 11372360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3545/821, 3208/844 is 11372360.

LCM(3545/821, 3208/844) = 11372360

LCM of 3545/821, 3208/844

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 3545/821,3208/844

Given numbers are 3545/821,3208/844

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 3545,3208

Least Common Multiple of Numerators i.e. LCM of 3545,3208 is 11372360.

GCF of Denominators means GCF of 821,844 as per the given fractions.

GCF of 821,844 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3545,3208

LCM of Fractions 3545/821,3208/844 is 11372360

Given numbers has no common factors except 1. So, there LCM is their product i.e 11372360

Least Common Multiple of 3545,3208 with GCF Formula

Least Common Multiple of 3545,3208 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 3545,3208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3545,3208) = 1

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

GCF(3545,3208) x common factors =1 x 1 = 1

LCM(3545,3208) = ( 3545 × 3208 ) / 1

LCM(3545,3208) = 11372360 / 1

LCM(3545,3208) = 11372360


Lets's calculate GCF of 821,844

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11372360/1

Therefore the LCM of Fractions 3545/821,3208/844 is 11372360

Greatest Common Factor of 821,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,844 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 821,844 . The biggest common factor number is the GCF number.
So the greatest common factor 821,844 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 3545/821, 3208/844

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 3545/821, 3208/844?

Answer: LCM of Numerators as per given numbers 3545/821, 3208/844 is

LCM of Numerators i.e. for 3545,3208 is 11372360

GCF of denominators i.e. for 821,844 is 1.

Thus, LCM of Fractions is 11372360.Finally, LCM of Fractions for 3545/821, 3208/844 is 11372360.