Least Common Multiple of 24/169, 4221/3385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/169, 4221/3385 quickly i.e. 33768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/169, 4221/3385 is 33768.

LCM(24/169, 4221/3385) = 33768

LCM of 24/169, 4221/3385

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 24/169,4221/3385

Given numbers are 24/169,4221/3385

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 24,4221

Least Common Multiple of Numerators i.e. LCM of 24,4221 is 33768.

GCF of Denominators means GCF of 169,3385 as per the given fractions.

GCF of 169,3385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,4221

LCM of Fractions 24/169,4221/3385 is 33768

3 24, 4221
8, 1407

∴ So the LCM of the given numbers is 3 x 8 x 1407 = 33768

Least Common Multiple of 24,4221 with GCF Formula

Least Common Multiple of 24,4221 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 24,4221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,4221) = 3

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

GCF(24,4221) x common factors =3 x 1 = 3

LCM(24,4221) = ( 24 × 4221 ) / 3

LCM(24,4221) = 101304 / 3

LCM(24,4221) = 33768


Lets's calculate GCF of 169,3385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33768/1

Therefore the LCM of Fractions 24/169,4221/3385 is 33768

Greatest Common Factor of 169,3385 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,3385 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 3385

List of positive integer factors of 3385 that divides 3385 without a remainder.

1,5,677,3385

Greatest Common Factor

We found the factors 169,3385 . The biggest common factor number is the GCF number.
So the greatest common factor 169,3385 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 24/169, 4221/3385

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 24/169, 4221/3385?

Answer: LCM of Numerators as per given numbers 24/169, 4221/3385 is

LCM of Numerators i.e. for 24,4221 is 33768

GCF of denominators i.e. for 169,3385 is 1.

Thus, LCM of Fractions is 33768.Finally, LCM of Fractions for 24/169, 4221/3385 is 33768.