Least Common Multiple of 8736/28, 7467/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8736/28, 7467/532 quickly i.e. 776568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8736/28, 7467/532 is 776568.

LCM(8736/28, 7467/532) = 776568

LCM of 8736/28, 7467/532

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 8736/28,7467/532

Given numbers are 8736/28,7467/532

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 8736,7467

Least Common Multiple of Numerators i.e. LCM of 8736,7467 is 21743904.

GCF of Denominators means GCF of 28,532 as per the given fractions.

GCF of 28,532 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8736,7467

LCM of Fractions 8736/28,7467/532 is 776568

3 8736, 7467
2912, 2489

∴ So the LCM of the given numbers is 3 x 2912 x 2489 = 21743904

Least Common Multiple of 8736,7467 with GCF Formula

Least Common Multiple of 8736,7467 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 8736,7467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8736,7467) = 3

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

GCF(8736,7467) x common factors =3 x 1 = 3

LCM(8736,7467) = ( 8736 × 7467 ) / 3

LCM(8736,7467) = 65231712 / 3

LCM(8736,7467) = 21743904


Lets's calculate GCF of 28,532

2 28, 532
2 14, 266
7 7, 133
1, 19

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21743904/28

Therefore the LCM of Fractions 8736/28,7467/532 is 776568

Greatest Common Factor of 28,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,532 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 28,532 . The biggest common factor number is the GCF number.
So the greatest common factor 28,532 is 28.


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 8736/28, 7467/532

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 8736/28, 7467/532?

Answer: LCM of Numerators as per given numbers 8736/28, 7467/532 is

LCM of Numerators i.e. for 8736,7467 is 21743904

GCF of denominators i.e. for 28,532 is 28.

Thus, LCM of Fractions is 776568.Finally, LCM of Fractions for 8736/28, 7467/532 is 776568.