Least Common Multiple of 824/504, 3969/7472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/504, 3969/7472 quickly i.e. 408807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/504, 3969/7472 is 408807.

LCM(824/504, 3969/7472) = 408807

LCM of 824/504, 3969/7472

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 824/504,3969/7472

Given numbers are 824/504,3969/7472

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 824,3969

Least Common Multiple of Numerators i.e. LCM of 824,3969 is 3270456.

GCF of Denominators means GCF of 504,7472 as per the given fractions.

GCF of 504,7472 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,3969

LCM of Fractions 824/504,3969/7472 is 408807

Given numbers has no common factors except 1. So, there LCM is their product i.e 3270456

Least Common Multiple of 824,3969 with GCF Formula

Least Common Multiple of 824,3969 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 824,3969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,3969) = 1

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

GCF(824,3969) x common factors =1 x 1 = 1

LCM(824,3969) = ( 824 × 3969 ) / 1

LCM(824,3969) = 3270456 / 1

LCM(824,3969) = 3270456


Lets's calculate GCF of 504,7472

2 504, 7472
2 252, 3736
2 126, 1868
63, 934

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3270456/8

Therefore the LCM of Fractions 824/504,3969/7472 is 408807

Greatest Common Factor of 504,7472 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,7472 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 7472

List of positive integer factors of 7472 that divides 7472 without a remainder.

1,2,4,8,16,467,934,1868,3736,7472

Greatest Common Factor

We found the factors 504,7472 . The biggest common factor number is the GCF number.
So the greatest common factor 504,7472 is 8.


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 824/504, 3969/7472

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 824/504, 3969/7472?

Answer: LCM of Numerators as per given numbers 824/504, 3969/7472 is

LCM of Numerators i.e. for 824,3969 is 3270456

GCF of denominators i.e. for 504,7472 is 8.

Thus, LCM of Fractions is 408807.Finally, LCM of Fractions for 824/504, 3969/7472 is 408807.