Least Common Multiple of 53/238, 77/928, 824/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/238, 77/928, 824/263 quickly i.e. 3362744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/238, 77/928, 824/263 is 3362744.

LCM(53/238, 77/928, 824/263) = 3362744

LCM of 53/238, 77/928, 824/263

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 53/238,77/928,824/263

Given numbers are 53/238,77/928,824/263

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 53,77,824

Least Common Multiple of Numerators i.e. LCM of 53,77,824 is 3362744.

GCF of Denominators means GCF of 238,928,263 as per the given fractions.

GCF of 238,928,263 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,77,824

LCM of Fractions 53/238,77/928,824/263 is 3362744

Given numbers has no common factors except 1. So, there LCM is their product i.e 3362744

Least Common Multiple of 53,77,824 with GCF Formula

Least Common Multiple of 53,77,824 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 53,77,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,77,824) = 1

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

GCF(53,77,824) x common factors =1 x 1 = 1

LCM(53,77,824) = ( 53 × 77 × 824 ) / 1

LCM(53,77,824) = 3362744 / 1

LCM(53,77,824) = 3362744


Lets's calculate GCF of 238,928,263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3362744/1

Therefore the LCM of Fractions 53/238,77/928,824/263 is 3362744

Greatest Common Factor of 238,928,263 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,928,263 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Greatest Common Factor

We found the factors 238,928,263 . The biggest common factor number is the GCF number.
So the greatest common factor 238,928,263 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 53/238, 77/928, 824/263

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 53/238, 77/928, 824/263?

Answer: LCM of Numerators as per given numbers 53/238, 77/928, 824/263 is

LCM of Numerators i.e. for 53,77,824 is 3362744

GCF of denominators i.e. for 238,928,263 is 1.

Thus, LCM of Fractions is 3362744.Finally, LCM of Fractions for 53/238, 77/928, 824/263 is 3362744.