Least Common Multiple of 1/396, 49/618, 45/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/396, 49/618, 45/722 quickly i.e. 2205/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/396, 49/618, 45/722 is 2205/2.

LCM(1/396, 49/618, 45/722) = 2205/2

LCM of 1/396, 49/618, 45/722

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 1/396,49/618,45/722

Given numbers are 1/396,49/618,45/722

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 1,49,45

Least Common Multiple of Numerators i.e. LCM of 1,49,45 is 2205.

GCF of Denominators means GCF of 396,618,722 as per the given fractions.

GCF of 396,618,722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,49,45

LCM of Fractions 1/396,49/618,45/722 is 2205/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 2205

Least Common Multiple of 1,49,45 with GCF Formula

Least Common Multiple of 1,49,45 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 1,49,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,49,45) = 1

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

GCF(1,49,45) x common factors =1 x 1 = 1

LCM(1,49,45) = ( 1 × 49 × 45 ) / 1

LCM(1,49,45) = 2205 / 1

LCM(1,49,45) = 2205


Lets's calculate GCF of 396,618,722

2 396, 618, 722
198, 309, 361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2205/2

Therefore the LCM of Fractions 1/396,49/618,45/722 is 2205/2

Greatest Common Factor of 396,618,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,618,722 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 396,618,722 . The biggest common factor number is the GCF number.
So the greatest common factor 396,618,722 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 1/396, 49/618, 45/722

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 1/396, 49/618, 45/722?

Answer: LCM of Numerators as per given numbers 1/396, 49/618, 45/722 is

LCM of Numerators i.e. for 1,49,45 is 2205

GCF of denominators i.e. for 396,618,722 is 2.

Thus, LCM of Fractions is 2205/2.Finally, LCM of Fractions for 1/396, 49/618, 45/722 is 2205/2.