Least Common Multiple of 538/32, 637/77, 696/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 538/32, 637/77, 696/96 quickly i.e. 119261688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 538/32, 637/77, 696/96 is 119261688.

LCM(538/32, 637/77, 696/96) = 119261688

LCM of 538/32, 637/77, 696/96

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 538/32,637/77,696/96

Given numbers are 538/32,637/77,696/96

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 538,637,696

Least Common Multiple of Numerators i.e. LCM of 538,637,696 is 119261688.

GCF of Denominators means GCF of 32,77,96 as per the given fractions.

GCF of 32,77,96 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 538,637,696

LCM of Fractions 538/32,637/77,696/96 is 119261688

2 538, 637, 696
269, 637, 348

∴ So the LCM of the given numbers is 2 x 269 x 637 x 348 = 119261688

Least Common Multiple of 538,637,696 with GCF Formula

Least Common Multiple of 538,637,696 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 538,637,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,637,696) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(538,637,696) x common factors =1 x 2 = 2

LCM(538,637,696) = ( 538 × 637 × 696 ) / 2

LCM(538,637,696) = 238523376 / 2

LCM(538,637,696) = 119261688


Lets's calculate GCF of 32,77,96

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119261688/1

Therefore the LCM of Fractions 538/32,637/77,696/96 is 119261688

Greatest Common Factor of 32,77,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,77,96 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

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

Greatest Common Factor

We found the factors 32,77,96 . The biggest common factor number is the GCF number.
So the greatest common factor 32,77,96 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 538/32, 637/77, 696/96

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 538/32, 637/77, 696/96?

Answer: LCM of Numerators as per given numbers 538/32, 637/77, 696/96 is

LCM of Numerators i.e. for 538,637,696 is 119261688

GCF of denominators i.e. for 32,77,96 is 1.

Thus, LCM of Fractions is 119261688.Finally, LCM of Fractions for 538/32, 637/77, 696/96 is 119261688.