Least Common Multiple of 5923/364, 4202/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5923/364, 4202/299 quickly i.e. 24888446/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5923/364, 4202/299 is 24888446/13.

LCM(5923/364, 4202/299) = 24888446/13

LCM of 5923/364, 4202/299

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 5923/364,4202/299

Given numbers are 5923/364,4202/299

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 5923,4202

Least Common Multiple of Numerators i.e. LCM of 5923,4202 is 24888446.

GCF of Denominators means GCF of 364,299 as per the given fractions.

GCF of 364,299 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5923,4202

LCM of Fractions 5923/364,4202/299 is 24888446/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 24888446

Least Common Multiple of 5923,4202 with GCF Formula

Least Common Multiple of 5923,4202 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 5923,4202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5923,4202) = 1

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

GCF(5923,4202) x common factors =1 x 1 = 1

LCM(5923,4202) = ( 5923 × 4202 ) / 1

LCM(5923,4202) = 24888446 / 1

LCM(5923,4202) = 24888446


Lets's calculate GCF of 364,299

13 364, 299
28, 23

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24888446/13

Therefore the LCM of Fractions 5923/364,4202/299 is 24888446/13

Greatest Common Factor of 364,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,299 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 364,299 . The biggest common factor number is the GCF number.
So the greatest common factor 364,299 is 13.


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 5923/364, 4202/299

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 5923/364, 4202/299?

Answer: LCM of Numerators as per given numbers 5923/364, 4202/299 is

LCM of Numerators i.e. for 5923,4202 is 24888446

GCF of denominators i.e. for 364,299 is 13.

Thus, LCM of Fractions is 24888446/13.Finally, LCM of Fractions for 5923/364, 4202/299 is 24888446/13.