Least Common Multiple of 223/605, 3380/3960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 223/605, 3380/3960 quickly i.e. 753740/55 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 223/605, 3380/3960 is 753740/55.

LCM(223/605, 3380/3960) = 753740/55

LCM of 223/605, 3380/3960

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 223/605,3380/3960

Given numbers are 223/605,3380/3960

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 223,3380

Least Common Multiple of Numerators i.e. LCM of 223,3380 is 753740.

GCF of Denominators means GCF of 605,3960 as per the given fractions.

GCF of 605,3960 is 55 as it is the largest common factor for these numbers.

Lets's calculate LCM of 223,3380

LCM of Fractions 223/605,3380/3960 is 753740/55

Given numbers has no common factors except 1. So, there LCM is their product i.e 753740

Least Common Multiple of 223,3380 with GCF Formula

Least Common Multiple of 223,3380 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 223,3380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,3380) = 1

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

GCF(223,3380) x common factors =1 x 1 = 1

LCM(223,3380) = ( 223 × 3380 ) / 1

LCM(223,3380) = 753740 / 1

LCM(223,3380) = 753740


Lets's calculate GCF of 605,3960

5 605, 3960
11 121, 792
11, 72

∴ So the GCF of the given numbers is 5 x 11 = 55

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 753740/55

Therefore the LCM of Fractions 223/605,3380/3960 is 753740/55

Greatest Common Factor of 605,3960 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,3960 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 3960

List of positive integer factors of 3960 that divides 3960 without a remainder.

1,2,3,4,5,6,8,9,10,11,12,15,18,20,22,24,30,33,36,40,44,45,55,60,66,72,88,90,99,110,120,132,165,180,198,220,264,330,360,396,440,495,660,792,990,1320,1980,3960

Greatest Common Factor

We found the factors 605,3960 . The biggest common factor number is the GCF number.
So the greatest common factor 605,3960 is 55.


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 223/605, 3380/3960

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 223/605, 3380/3960?

Answer: LCM of Numerators as per given numbers 223/605, 3380/3960 is

LCM of Numerators i.e. for 223,3380 is 753740

GCF of denominators i.e. for 605,3960 is 55.

Thus, LCM of Fractions is 753740/55.Finally, LCM of Fractions for 223/605, 3380/3960 is 753740/55.