Least Common Multiple of 96/712, 43/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/712, 43/688 quickly i.e. 516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/712, 43/688 is 516.

LCM(96/712, 43/688) = 516

LCM of 96/712, 43/688

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 96/712,43/688

Given numbers are 96/712,43/688

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 96,43

Least Common Multiple of Numerators i.e. LCM of 96,43 is 4128.

GCF of Denominators means GCF of 712,688 as per the given fractions.

GCF of 712,688 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,43

LCM of Fractions 96/712,43/688 is 516

Given numbers has no common factors except 1. So, there LCM is their product i.e 4128

Least Common Multiple of 96,43 with GCF Formula

Least Common Multiple of 96,43 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 96,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,43) = 1

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

GCF(96,43) x common factors =1 x 1 = 1

LCM(96,43) = ( 96 × 43 ) / 1

LCM(96,43) = 4128 / 1

LCM(96,43) = 4128


Lets's calculate GCF of 712,688

2 712, 688
2 356, 344
2 178, 172
89, 86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4128/8

Therefore the LCM of Fractions 96/712,43/688 is 516

Greatest Common Factor of 712,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,688 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 712,688 . The biggest common factor number is the GCF number.
So the greatest common factor 712,688 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 96/712, 43/688

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 96/712, 43/688?

Answer: LCM of Numerators as per given numbers 96/712, 43/688 is

LCM of Numerators i.e. for 96,43 is 4128

GCF of denominators i.e. for 712,688 is 8.

Thus, LCM of Fractions is 516.Finally, LCM of Fractions for 96/712, 43/688 is 516.