Least Common Multiple of 69/411, 1164/3315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/411, 1164/3315 quickly i.e. 8924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/411, 1164/3315 is 8924.

LCM(69/411, 1164/3315) = 8924

LCM of 69/411, 1164/3315

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 69/411,1164/3315

Given numbers are 69/411,1164/3315

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 69,1164

Least Common Multiple of Numerators i.e. LCM of 69,1164 is 26772.

GCF of Denominators means GCF of 411,3315 as per the given fractions.

GCF of 411,3315 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,1164

LCM of Fractions 69/411,1164/3315 is 8924

3 69, 1164
23, 388

∴ So the LCM of the given numbers is 3 x 23 x 388 = 26772

Least Common Multiple of 69,1164 with GCF Formula

Least Common Multiple of 69,1164 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 69,1164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,1164) = 3

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

GCF(69,1164) x common factors =3 x 1 = 3

LCM(69,1164) = ( 69 × 1164 ) / 3

LCM(69,1164) = 80316 / 3

LCM(69,1164) = 26772


Lets's calculate GCF of 411,3315

3 411, 3315
137, 1105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26772/3

Therefore the LCM of Fractions 69/411,1164/3315 is 8924

Greatest Common Factor of 411,3315 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,3315 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 3315

List of positive integer factors of 3315 that divides 3315 without a remainder.

1,3,5,13,15,17,39,51,65,85,195,221,255,663,1105,3315

Greatest Common Factor

We found the factors 411,3315 . The biggest common factor number is the GCF number.
So the greatest common factor 411,3315 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 69/411, 1164/3315

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 69/411, 1164/3315?

Answer: LCM of Numerators as per given numbers 69/411, 1164/3315 is

LCM of Numerators i.e. for 69,1164 is 26772

GCF of denominators i.e. for 411,3315 is 3.

Thus, LCM of Fractions is 8924.Finally, LCM of Fractions for 69/411, 1164/3315 is 8924.