Least Common Multiple of 38/923, 1979/5299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/923, 1979/5299 quickly i.e. 75202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/923, 1979/5299 is 75202.

LCM(38/923, 1979/5299) = 75202

LCM of 38/923, 1979/5299

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 38/923,1979/5299

Given numbers are 38/923,1979/5299

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 38,1979

Least Common Multiple of Numerators i.e. LCM of 38,1979 is 75202.

GCF of Denominators means GCF of 923,5299 as per the given fractions.

GCF of 923,5299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,1979

LCM of Fractions 38/923,1979/5299 is 75202

Given numbers has no common factors except 1. So, there LCM is their product i.e 75202

Least Common Multiple of 38,1979 with GCF Formula

Least Common Multiple of 38,1979 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 38,1979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,1979) = 1

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

GCF(38,1979) x common factors =1 x 1 = 1

LCM(38,1979) = ( 38 × 1979 ) / 1

LCM(38,1979) = 75202 / 1

LCM(38,1979) = 75202


Lets's calculate GCF of 923,5299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75202/1

Therefore the LCM of Fractions 38/923,1979/5299 is 75202

Greatest Common Factor of 923,5299 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,5299 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 5299

List of positive integer factors of 5299 that divides 5299 without a remainder.

1,7,757,5299

Greatest Common Factor

We found the factors 923,5299 . The biggest common factor number is the GCF number.
So the greatest common factor 923,5299 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 38/923, 1979/5299

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 38/923, 1979/5299?

Answer: LCM of Numerators as per given numbers 38/923, 1979/5299 is

LCM of Numerators i.e. for 38,1979 is 75202

GCF of denominators i.e. for 923,5299 is 1.

Thus, LCM of Fractions is 75202.Finally, LCM of Fractions for 38/923, 1979/5299 is 75202.