Least Common Multiple of 824/44, 704/9565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/44, 704/9565 quickly i.e. 72512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/44, 704/9565 is 72512.

LCM(824/44, 704/9565) = 72512

LCM of 824/44, 704/9565

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 824/44,704/9565

Given numbers are 824/44,704/9565

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 824,704

Least Common Multiple of Numerators i.e. LCM of 824,704 is 72512.

GCF of Denominators means GCF of 44,9565 as per the given fractions.

GCF of 44,9565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,704

LCM of Fractions 824/44,704/9565 is 72512

2 824, 704
2 412, 352
2 206, 176
103, 88

∴ So the LCM of the given numbers is 2 x 2 x 2 x 103 x 88 = 72512

Least Common Multiple of 824,704 with GCF Formula

Least Common Multiple of 824,704 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 824,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,704) = 8

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

GCF(824,704) x common factors =8 x 1 = 8

LCM(824,704) = ( 824 × 704 ) / 8

LCM(824,704) = 580096 / 8

LCM(824,704) = 72512


Lets's calculate GCF of 44,9565

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72512/1

Therefore the LCM of Fractions 824/44,704/9565 is 72512

Greatest Common Factor of 44,9565 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,9565 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 9565

List of positive integer factors of 9565 that divides 9565 without a remainder.

1,5,1913,9565

Greatest Common Factor

We found the factors 44,9565 . The biggest common factor number is the GCF number.
So the greatest common factor 44,9565 is 1.


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 824/44, 704/9565

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 824/44, 704/9565?

Answer: LCM of Numerators as per given numbers 824/44, 704/9565 is

LCM of Numerators i.e. for 824,704 is 72512

GCF of denominators i.e. for 44,9565 is 1.

Thus, LCM of Fractions is 72512.Finally, LCM of Fractions for 824/44, 704/9565 is 72512.