Least Common Multiple of 704/96, 872/3532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/96, 872/3532 quickly i.e. 19184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/96, 872/3532 is 19184.

LCM(704/96, 872/3532) = 19184

LCM of 704/96, 872/3532

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 704/96,872/3532

Given numbers are 704/96,872/3532

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 704,872

Least Common Multiple of Numerators i.e. LCM of 704,872 is 76736.

GCF of Denominators means GCF of 96,3532 as per the given fractions.

GCF of 96,3532 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,872

LCM of Fractions 704/96,872/3532 is 19184

2 704, 872
2 352, 436
2 176, 218
88, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 88 x 109 = 76736

Least Common Multiple of 704,872 with GCF Formula

Least Common Multiple of 704,872 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 704,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,872) = 8

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

GCF(704,872) x common factors =8 x 1 = 8

LCM(704,872) = ( 704 × 872 ) / 8

LCM(704,872) = 613888 / 8

LCM(704,872) = 76736


Lets's calculate GCF of 96,3532

2 96, 3532
2 48, 1766
24, 883

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76736/4

Therefore the LCM of Fractions 704/96,872/3532 is 19184

Greatest Common Factor of 96,3532 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,3532 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 3532

List of positive integer factors of 3532 that divides 3532 without a remainder.

1,2,4,883,1766,3532

Greatest Common Factor

We found the factors 96,3532 . The biggest common factor number is the GCF number.
So the greatest common factor 96,3532 is 4.


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 704/96, 872/3532

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 704/96, 872/3532?

Answer: LCM of Numerators as per given numbers 704/96, 872/3532 is

LCM of Numerators i.e. for 704,872 is 76736

GCF of denominators i.e. for 96,3532 is 4.

Thus, LCM of Fractions is 19184.Finally, LCM of Fractions for 704/96, 872/3532 is 19184.