Least Common Multiple of 1461/144, 3773/9888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1461/144, 3773/9888 quickly i.e. 5512353/48 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1461/144, 3773/9888 is 5512353/48.

LCM(1461/144, 3773/9888) = 5512353/48

LCM of 1461/144, 3773/9888

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 1461/144,3773/9888

Given numbers are 1461/144,3773/9888

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 1461,3773

Least Common Multiple of Numerators i.e. LCM of 1461,3773 is 5512353.

GCF of Denominators means GCF of 144,9888 as per the given fractions.

GCF of 144,9888 is 48 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1461,3773

LCM of Fractions 1461/144,3773/9888 is 5512353/48

Given numbers has no common factors except 1. So, there LCM is their product i.e 5512353

Least Common Multiple of 1461,3773 with GCF Formula

Least Common Multiple of 1461,3773 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 1461,3773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1461,3773) = 1

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

GCF(1461,3773) x common factors =1 x 1 = 1

LCM(1461,3773) = ( 1461 × 3773 ) / 1

LCM(1461,3773) = 5512353 / 1

LCM(1461,3773) = 5512353


Lets's calculate GCF of 144,9888

2 144, 9888
2 72, 4944
2 36, 2472
2 18, 1236
3 9, 618
3, 206

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5512353/48

Therefore the LCM of Fractions 1461/144,3773/9888 is 5512353/48

Greatest Common Factor of 144,9888 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,9888 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 9888

List of positive integer factors of 9888 that divides 9888 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,103,206,309,412,618,824,1236,1648,2472,3296,4944,9888

Greatest Common Factor

We found the factors 144,9888 . The biggest common factor number is the GCF number.
So the greatest common factor 144,9888 is 48.


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 1461/144, 3773/9888

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 1461/144, 3773/9888?

Answer: LCM of Numerators as per given numbers 1461/144, 3773/9888 is

LCM of Numerators i.e. for 1461,3773 is 5512353

GCF of denominators i.e. for 144,9888 is 48.

Thus, LCM of Fractions is 5512353/48.Finally, LCM of Fractions for 1461/144, 3773/9888 is 5512353/48.