Least Common Multiple of 1344/993, 7740/8043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1344/993, 7740/8043 quickly i.e. 288960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1344/993, 7740/8043 is 288960.

LCM(1344/993, 7740/8043) = 288960

LCM of 1344/993, 7740/8043

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 1344/993,7740/8043

Given numbers are 1344/993,7740/8043

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 1344,7740

Least Common Multiple of Numerators i.e. LCM of 1344,7740 is 866880.

GCF of Denominators means GCF of 993,8043 as per the given fractions.

GCF of 993,8043 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1344,7740

LCM of Fractions 1344/993,7740/8043 is 288960

2 1344, 7740
2 672, 3870
3 336, 1935
112, 645

∴ So the LCM of the given numbers is 2 x 2 x 3 x 112 x 645 = 866880

Least Common Multiple of 1344,7740 with GCF Formula

Least Common Multiple of 1344,7740 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 1344,7740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1344,7740) = 12

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

GCF(1344,7740) x common factors =12 x 1 = 12

LCM(1344,7740) = ( 1344 × 7740 ) / 12

LCM(1344,7740) = 10402560 / 12

LCM(1344,7740) = 866880


Lets's calculate GCF of 993,8043

3 993, 8043
331, 2681

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 866880/3

Therefore the LCM of Fractions 1344/993,7740/8043 is 288960

Greatest Common Factor of 993,8043 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,8043 By Matching Biggest Common Factor Method

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 8043

List of positive integer factors of 8043 that divides 8043 without a remainder.

1,3,7,21,383,1149,2681,8043

Greatest Common Factor

We found the factors 993,8043 . The biggest common factor number is the GCF number.
So the greatest common factor 993,8043 is 3.


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 1344/993, 7740/8043

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 1344/993, 7740/8043?

Answer: LCM of Numerators as per given numbers 1344/993, 7740/8043 is

LCM of Numerators i.e. for 1344,7740 is 866880

GCF of denominators i.e. for 993,8043 is 3.

Thus, LCM of Fractions is 288960.Finally, LCM of Fractions for 1344/993, 7740/8043 is 288960.