Least Common Multiple of 744/365, 2454/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/365, 2454/552 quickly i.e. 304296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/365, 2454/552 is 304296.

LCM(744/365, 2454/552) = 304296

LCM of 744/365, 2454/552

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 744/365,2454/552

Given numbers are 744/365,2454/552

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 744,2454

Least Common Multiple of Numerators i.e. LCM of 744,2454 is 304296.

GCF of Denominators means GCF of 365,552 as per the given fractions.

GCF of 365,552 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,2454

LCM of Fractions 744/365,2454/552 is 304296

2 744, 2454
3 372, 1227
124, 409

∴ So the LCM of the given numbers is 2 x 3 x 124 x 409 = 304296

Least Common Multiple of 744,2454 with GCF Formula

Least Common Multiple of 744,2454 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 744,2454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,2454) = 6

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

GCF(744,2454) x common factors =6 x 1 = 6

LCM(744,2454) = ( 744 × 2454 ) / 6

LCM(744,2454) = 1825776 / 6

LCM(744,2454) = 304296


Lets's calculate GCF of 365,552

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304296/1

Therefore the LCM of Fractions 744/365,2454/552 is 304296

Greatest Common Factor of 365,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,552 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 365,552 . The biggest common factor number is the GCF number.
So the greatest common factor 365,552 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 744/365, 2454/552

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 744/365, 2454/552?

Answer: LCM of Numerators as per given numbers 744/365, 2454/552 is

LCM of Numerators i.e. for 744,2454 is 304296

GCF of denominators i.e. for 365,552 is 1.

Thus, LCM of Fractions is 304296.Finally, LCM of Fractions for 744/365, 2454/552 is 304296.