Least Common Multiple of 6503/993, 1043/7608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6503/993, 1043/7608 quickly i.e. 968947/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6503/993, 1043/7608 is 968947/3.

LCM(6503/993, 1043/7608) = 968947/3

LCM of 6503/993, 1043/7608

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 6503/993,1043/7608

Given numbers are 6503/993,1043/7608

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 6503,1043

Least Common Multiple of Numerators i.e. LCM of 6503,1043 is 968947.

GCF of Denominators means GCF of 993,7608 as per the given fractions.

GCF of 993,7608 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6503,1043

LCM of Fractions 6503/993,1043/7608 is 968947/3

7 6503, 1043
929, 149

∴ So the LCM of the given numbers is 7 x 929 x 149 = 968947

Least Common Multiple of 6503,1043 with GCF Formula

Least Common Multiple of 6503,1043 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 6503,1043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6503,1043) = 7

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

GCF(6503,1043) x common factors =7 x 1 = 7

LCM(6503,1043) = ( 6503 × 1043 ) / 7

LCM(6503,1043) = 6782629 / 7

LCM(6503,1043) = 968947


Lets's calculate GCF of 993,7608

3 993, 7608
331, 2536

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 968947/3

Therefore the LCM of Fractions 6503/993,1043/7608 is 968947/3

Greatest Common Factor of 993,7608 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,7608 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 7608

List of positive integer factors of 7608 that divides 7608 without a remainder.

1,2,3,4,6,8,12,24,317,634,951,1268,1902,2536,3804,7608

Greatest Common Factor

We found the factors 993,7608 . The biggest common factor number is the GCF number.
So the greatest common factor 993,7608 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 6503/993, 1043/7608

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 6503/993, 1043/7608?

Answer: LCM of Numerators as per given numbers 6503/993, 1043/7608 is

LCM of Numerators i.e. for 6503,1043 is 968947

GCF of denominators i.e. for 993,7608 is 3.

Thus, LCM of Fractions is 968947/3.Finally, LCM of Fractions for 6503/993, 1043/7608 is 968947/3.