Least Common Multiple of 1184/820, 3400/3405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1184/820, 3400/3405 quickly i.e. 100640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1184/820, 3400/3405 is 100640.

LCM(1184/820, 3400/3405) = 100640

LCM of 1184/820, 3400/3405

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 1184/820,3400/3405

Given numbers are 1184/820,3400/3405

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 1184,3400

Least Common Multiple of Numerators i.e. LCM of 1184,3400 is 503200.

GCF of Denominators means GCF of 820,3405 as per the given fractions.

GCF of 820,3405 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1184,3400

LCM of Fractions 1184/820,3400/3405 is 100640

2 1184, 3400
2 592, 1700
2 296, 850
148, 425

∴ So the LCM of the given numbers is 2 x 2 x 2 x 148 x 425 = 503200

Least Common Multiple of 1184,3400 with GCF Formula

Least Common Multiple of 1184,3400 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 1184,3400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1184,3400) = 8

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

GCF(1184,3400) x common factors =8 x 1 = 8

LCM(1184,3400) = ( 1184 × 3400 ) / 8

LCM(1184,3400) = 4025600 / 8

LCM(1184,3400) = 503200


Lets's calculate GCF of 820,3405

5 820, 3405
164, 681

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503200/5

Therefore the LCM of Fractions 1184/820,3400/3405 is 100640

Greatest Common Factor of 820,3405 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,3405 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 3405

List of positive integer factors of 3405 that divides 3405 without a remainder.

1,3,5,15,227,681,1135,3405

Greatest Common Factor

We found the factors 820,3405 . The biggest common factor number is the GCF number.
So the greatest common factor 820,3405 is 5.


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 1184/820, 3400/3405

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 1184/820, 3400/3405?

Answer: LCM of Numerators as per given numbers 1184/820, 3400/3405 is

LCM of Numerators i.e. for 1184,3400 is 503200

GCF of denominators i.e. for 820,3405 is 5.

Thus, LCM of Fractions is 100640.Finally, LCM of Fractions for 1184/820, 3400/3405 is 100640.