Least Common Multiple of 6469/531, 5432/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6469/531, 5432/747 quickly i.e. 35139608/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6469/531, 5432/747 is 35139608/9.

LCM(6469/531, 5432/747) = 35139608/9

LCM of 6469/531, 5432/747

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 6469/531,5432/747

Given numbers are 6469/531,5432/747

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 6469,5432

Least Common Multiple of Numerators i.e. LCM of 6469,5432 is 35139608.

GCF of Denominators means GCF of 531,747 as per the given fractions.

GCF of 531,747 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6469,5432

LCM of Fractions 6469/531,5432/747 is 35139608/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 35139608

Least Common Multiple of 6469,5432 with GCF Formula

Least Common Multiple of 6469,5432 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 6469,5432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6469,5432) = 1

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

GCF(6469,5432) x common factors =1 x 1 = 1

LCM(6469,5432) = ( 6469 × 5432 ) / 1

LCM(6469,5432) = 35139608 / 1

LCM(6469,5432) = 35139608


Lets's calculate GCF of 531,747

3 531, 747
3 177, 249
59, 83

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35139608/9

Therefore the LCM of Fractions 6469/531,5432/747 is 35139608/9

Greatest Common Factor of 531,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,747 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 531,747 . The biggest common factor number is the GCF number.
So the greatest common factor 531,747 is 9.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6469/531, 5432/747

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 6469/531, 5432/747?

Answer: LCM of Numerators as per given numbers 6469/531, 5432/747 is

LCM of Numerators i.e. for 6469,5432 is 35139608

GCF of denominators i.e. for 531,747 is 9.

Thus, LCM of Fractions is 35139608/9.Finally, LCM of Fractions for 6469/531, 5432/747 is 35139608/9.