Least Common Multiple of 240/45, 224/3355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/45, 224/3355 quickly i.e. 672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/45, 224/3355 is 672.

LCM(240/45, 224/3355) = 672

LCM of 240/45, 224/3355

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 240/45,224/3355

Given numbers are 240/45,224/3355

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 240,224

Least Common Multiple of Numerators i.e. LCM of 240,224 is 3360.

GCF of Denominators means GCF of 45,3355 as per the given fractions.

GCF of 45,3355 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,224

LCM of Fractions 240/45,224/3355 is 672

2 240, 224
2 120, 112
2 60, 56
2 30, 28
15, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 15 x 14 = 3360

Least Common Multiple of 240,224 with GCF Formula

Least Common Multiple of 240,224 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 240,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,224) = 16

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

GCF(240,224) x common factors =16 x 1 = 16

LCM(240,224) = ( 240 × 224 ) / 16

LCM(240,224) = 53760 / 16

LCM(240,224) = 3360


Lets's calculate GCF of 45,3355

5 45, 3355
9, 671

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3360/5

Therefore the LCM of Fractions 240/45,224/3355 is 672

Greatest Common Factor of 45,3355 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,3355 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 3355

List of positive integer factors of 3355 that divides 3355 without a remainder.

1,5,11,55,61,305,671,3355

Greatest Common Factor

We found the factors 45,3355 . The biggest common factor number is the GCF number.
So the greatest common factor 45,3355 is 5.


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 240/45, 224/3355

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 240/45, 224/3355?

Answer: LCM of Numerators as per given numbers 240/45, 224/3355 is

LCM of Numerators i.e. for 240,224 is 3360

GCF of denominators i.e. for 45,3355 is 5.

Thus, LCM of Fractions is 672.Finally, LCM of Fractions for 240/45, 224/3355 is 672.