Least Common Multiple of 744/665, 1574/5648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/665, 1574/5648 quickly i.e. 585528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/665, 1574/5648 is 585528.

LCM(744/665, 1574/5648) = 585528

LCM of 744/665, 1574/5648

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 744/665,1574/5648

Given numbers are 744/665,1574/5648

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 744,1574

Least Common Multiple of Numerators i.e. LCM of 744,1574 is 585528.

GCF of Denominators means GCF of 665,5648 as per the given fractions.

GCF of 665,5648 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,1574

LCM of Fractions 744/665,1574/5648 is 585528

2 744, 1574
372, 787

∴ So the LCM of the given numbers is 2 x 372 x 787 = 585528

Least Common Multiple of 744,1574 with GCF Formula

Least Common Multiple of 744,1574 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 744,1574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,1574) = 2

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

GCF(744,1574) x common factors =2 x 1 = 2

LCM(744,1574) = ( 744 × 1574 ) / 2

LCM(744,1574) = 1171056 / 2

LCM(744,1574) = 585528


Lets's calculate GCF of 665,5648

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585528/1

Therefore the LCM of Fractions 744/665,1574/5648 is 585528

Greatest Common Factor of 665,5648 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,5648 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 5648

List of positive integer factors of 5648 that divides 5648 without a remainder.

1,2,4,8,16,353,706,1412,2824,5648

Greatest Common Factor

We found the factors 665,5648 . The biggest common factor number is the GCF number.
So the greatest common factor 665,5648 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 744/665, 1574/5648

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 744/665, 1574/5648?

Answer: LCM of Numerators as per given numbers 744/665, 1574/5648 is

LCM of Numerators i.e. for 744,1574 is 585528

GCF of denominators i.e. for 665,5648 is 1.

Thus, LCM of Fractions is 585528.Finally, LCM of Fractions for 744/665, 1574/5648 is 585528.