Least Common Multiple of 24/164, 1456/3217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/164, 1456/3217 quickly i.e. 4368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/164, 1456/3217 is 4368.

LCM(24/164, 1456/3217) = 4368

LCM of 24/164, 1456/3217

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 24/164,1456/3217

Given numbers are 24/164,1456/3217

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 24,1456

Least Common Multiple of Numerators i.e. LCM of 24,1456 is 4368.

GCF of Denominators means GCF of 164,3217 as per the given fractions.

GCF of 164,3217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,1456

LCM of Fractions 24/164,1456/3217 is 4368

2 24, 1456
2 12, 728
2 6, 364
3, 182

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 182 = 4368

Least Common Multiple of 24,1456 with GCF Formula

Least Common Multiple of 24,1456 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 24,1456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,1456) = 8

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

GCF(24,1456) x common factors =8 x 1 = 8

LCM(24,1456) = ( 24 × 1456 ) / 8

LCM(24,1456) = 34944 / 8

LCM(24,1456) = 4368


Lets's calculate GCF of 164,3217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4368/1

Therefore the LCM of Fractions 24/164,1456/3217 is 4368

Greatest Common Factor of 164,3217 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,3217 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 3217

List of positive integer factors of 3217 that divides 3217 without a remainder.

1,3217

Greatest Common Factor

We found the factors 164,3217 . The biggest common factor number is the GCF number.
So the greatest common factor 164,3217 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 24/164, 1456/3217

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 24/164, 1456/3217?

Answer: LCM of Numerators as per given numbers 24/164, 1456/3217 is

LCM of Numerators i.e. for 24,1456 is 4368

GCF of denominators i.e. for 164,3217 is 1.

Thus, LCM of Fractions is 4368.Finally, LCM of Fractions for 24/164, 1456/3217 is 4368.