Least Common Multiple of 53/164, 3239/4804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/164, 3239/4804 quickly i.e. 171667/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/164, 3239/4804 is 171667/4.

LCM(53/164, 3239/4804) = 171667/4

LCM of 53/164, 3239/4804

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 53/164,3239/4804

Given numbers are 53/164,3239/4804

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 53,3239

Least Common Multiple of Numerators i.e. LCM of 53,3239 is 171667.

GCF of Denominators means GCF of 164,4804 as per the given fractions.

GCF of 164,4804 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,3239

LCM of Fractions 53/164,3239/4804 is 171667/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 171667

Least Common Multiple of 53,3239 with GCF Formula

Least Common Multiple of 53,3239 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 53,3239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,3239) = 1

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

GCF(53,3239) x common factors =1 x 1 = 1

LCM(53,3239) = ( 53 × 3239 ) / 1

LCM(53,3239) = 171667 / 1

LCM(53,3239) = 171667


Lets's calculate GCF of 164,4804

2 164, 4804
2 82, 2402
41, 1201

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171667/4

Therefore the LCM of Fractions 53/164,3239/4804 is 171667/4

Greatest Common Factor of 164,4804 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,4804 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 4804

List of positive integer factors of 4804 that divides 4804 without a remainder.

1,2,4,1201,2402,4804

Greatest Common Factor

We found the factors 164,4804 . The biggest common factor number is the GCF number.
So the greatest common factor 164,4804 is 4.


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 53/164, 3239/4804

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 53/164, 3239/4804?

Answer: LCM of Numerators as per given numbers 53/164, 3239/4804 is

LCM of Numerators i.e. for 53,3239 is 171667

GCF of denominators i.e. for 164,4804 is 4.

Thus, LCM of Fractions is 171667/4.Finally, LCM of Fractions for 53/164, 3239/4804 is 171667/4.