Least Common Multiple of 7728/567, 7504/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7728/567, 7504/885 quickly i.e. 172592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7728/567, 7504/885 is 172592.

LCM(7728/567, 7504/885) = 172592

LCM of 7728/567, 7504/885

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 7728/567,7504/885

Given numbers are 7728/567,7504/885

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 7728,7504

Least Common Multiple of Numerators i.e. LCM of 7728,7504 is 517776.

GCF of Denominators means GCF of 567,885 as per the given fractions.

GCF of 567,885 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7728,7504

LCM of Fractions 7728/567,7504/885 is 172592

2 7728, 7504
2 3864, 3752
2 1932, 1876
2 966, 938
7 483, 469
69, 67

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 69 x 67 = 517776

Least Common Multiple of 7728,7504 with GCF Formula

Least Common Multiple of 7728,7504 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 7728,7504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7728,7504) = 112

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

GCF(7728,7504) x common factors =112 x 1 = 112

LCM(7728,7504) = ( 7728 × 7504 ) / 112

LCM(7728,7504) = 57990912 / 112

LCM(7728,7504) = 517776


Lets's calculate GCF of 567,885

3 567, 885
189, 295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 517776/3

Therefore the LCM of Fractions 7728/567,7504/885 is 172592

Greatest Common Factor of 567,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,885 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 567,885 . The biggest common factor number is the GCF number.
So the greatest common factor 567,885 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 7728/567, 7504/885

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 7728/567, 7504/885?

Answer: LCM of Numerators as per given numbers 7728/567, 7504/885 is

LCM of Numerators i.e. for 7728,7504 is 517776

GCF of denominators i.e. for 567,885 is 3.

Thus, LCM of Fractions is 172592.Finally, LCM of Fractions for 7728/567, 7504/885 is 172592.