Least Common Multiple of 7686/753, 6465/6471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7686/753, 6465/6471 quickly i.e. 5521110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7686/753, 6465/6471 is 5521110.

LCM(7686/753, 6465/6471) = 5521110

LCM of 7686/753, 6465/6471

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 7686/753,6465/6471

Given numbers are 7686/753,6465/6471

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 7686,6465

Least Common Multiple of Numerators i.e. LCM of 7686,6465 is 16563330.

GCF of Denominators means GCF of 753,6471 as per the given fractions.

GCF of 753,6471 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7686,6465

LCM of Fractions 7686/753,6465/6471 is 5521110

3 7686, 6465
2562, 2155

∴ So the LCM of the given numbers is 3 x 2562 x 2155 = 16563330

Least Common Multiple of 7686,6465 with GCF Formula

Least Common Multiple of 7686,6465 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 7686,6465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7686,6465) = 3

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

GCF(7686,6465) x common factors =3 x 1 = 3

LCM(7686,6465) = ( 7686 × 6465 ) / 3

LCM(7686,6465) = 49689990 / 3

LCM(7686,6465) = 16563330


Lets's calculate GCF of 753,6471

3 753, 6471
251, 2157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16563330/3

Therefore the LCM of Fractions 7686/753,6465/6471 is 5521110

Greatest Common Factor of 753,6471 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,6471 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 6471

List of positive integer factors of 6471 that divides 6471 without a remainder.

1,3,9,719,2157,6471

Greatest Common Factor

We found the factors 753,6471 . The biggest common factor number is the GCF number.
So the greatest common factor 753,6471 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 7686/753, 6465/6471

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 7686/753, 6465/6471?

Answer: LCM of Numerators as per given numbers 7686/753, 6465/6471 is

LCM of Numerators i.e. for 7686,6465 is 16563330

GCF of denominators i.e. for 753,6471 is 3.

Thus, LCM of Fractions is 5521110.Finally, LCM of Fractions for 7686/753, 6465/6471 is 5521110.