Least Common Multiple of 367/550, 4179/5738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 367/550, 4179/5738 quickly i.e. 1533693/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 367/550, 4179/5738 is 1533693/2.

LCM(367/550, 4179/5738) = 1533693/2

LCM of 367/550, 4179/5738

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 367/550,4179/5738

Given numbers are 367/550,4179/5738

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 367,4179

Least Common Multiple of Numerators i.e. LCM of 367,4179 is 1533693.

GCF of Denominators means GCF of 550,5738 as per the given fractions.

GCF of 550,5738 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 367,4179

LCM of Fractions 367/550,4179/5738 is 1533693/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1533693

Least Common Multiple of 367,4179 with GCF Formula

Least Common Multiple of 367,4179 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 367,4179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,4179) = 1

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

GCF(367,4179) x common factors =1 x 1 = 1

LCM(367,4179) = ( 367 × 4179 ) / 1

LCM(367,4179) = 1533693 / 1

LCM(367,4179) = 1533693


Lets's calculate GCF of 550,5738

2 550, 5738
275, 2869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1533693/2

Therefore the LCM of Fractions 367/550,4179/5738 is 1533693/2

Greatest Common Factor of 550,5738 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,5738 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 5738

List of positive integer factors of 5738 that divides 5738 without a remainder.

1,2,19,38,151,302,2869,5738

Greatest Common Factor

We found the factors 550,5738 . The biggest common factor number is the GCF number.
So the greatest common factor 550,5738 is 2.


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 367/550, 4179/5738

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 367/550, 4179/5738?

Answer: LCM of Numerators as per given numbers 367/550, 4179/5738 is

LCM of Numerators i.e. for 367,4179 is 1533693

GCF of denominators i.e. for 550,5738 is 2.

Thus, LCM of Fractions is 1533693/2.Finally, LCM of Fractions for 367/550, 4179/5738 is 1533693/2.