Least Common Multiple of 7690/753, 1301/9543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7690/753, 1301/9543 quickly i.e. 10004690/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7690/753, 1301/9543 is 10004690/3.

LCM(7690/753, 1301/9543) = 10004690/3

LCM of 7690/753, 1301/9543

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 7690/753,1301/9543

Given numbers are 7690/753,1301/9543

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 7690,1301

Least Common Multiple of Numerators i.e. LCM of 7690,1301 is 10004690.

GCF of Denominators means GCF of 753,9543 as per the given fractions.

GCF of 753,9543 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7690,1301

LCM of Fractions 7690/753,1301/9543 is 10004690/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 10004690

Least Common Multiple of 7690,1301 with GCF Formula

Least Common Multiple of 7690,1301 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 7690,1301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7690,1301) = 1

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

GCF(7690,1301) x common factors =1 x 1 = 1

LCM(7690,1301) = ( 7690 × 1301 ) / 1

LCM(7690,1301) = 10004690 / 1

LCM(7690,1301) = 10004690


Lets's calculate GCF of 753,9543

3 753, 9543
251, 3181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10004690/3

Therefore the LCM of Fractions 7690/753,1301/9543 is 10004690/3

Greatest Common Factor of 753,9543 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,9543 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 9543

List of positive integer factors of 9543 that divides 9543 without a remainder.

1,3,3181,9543

Greatest Common Factor

We found the factors 753,9543 . The biggest common factor number is the GCF number.
So the greatest common factor 753,9543 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 7690/753, 1301/9543

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 7690/753, 1301/9543?

Answer: LCM of Numerators as per given numbers 7690/753, 1301/9543 is

LCM of Numerators i.e. for 7690,1301 is 10004690

GCF of denominators i.e. for 753,9543 is 3.

Thus, LCM of Fractions is 10004690/3.Finally, LCM of Fractions for 7690/753, 1301/9543 is 10004690/3.