Least Common Multiple of 171/32, 688/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 171/32, 688/100 quickly i.e. 29412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/32, 688/100 is 29412.

LCM(171/32, 688/100) = 29412

LCM of 171/32, 688/100

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 171/32,688/100

Given numbers are 171/32,688/100

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 171,688

Least Common Multiple of Numerators i.e. LCM of 171,688 is 117648.

GCF of Denominators means GCF of 32,100 as per the given fractions.

GCF of 32,100 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,688

LCM of Fractions 171/32,688/100 is 29412

Given numbers has no common factors except 1. So, there LCM is their product i.e 117648

Least Common Multiple of 171,688 with GCF Formula

Least Common Multiple of 171,688 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 171,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,688) = 1

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

GCF(171,688) x common factors =1 x 1 = 1

LCM(171,688) = ( 171 × 688 ) / 1

LCM(171,688) = 117648 / 1

LCM(171,688) = 117648


Lets's calculate GCF of 32,100

2 32, 100
2 16, 50
8, 25

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117648/4

Therefore the LCM of Fractions 171/32,688/100 is 29412

Greatest Common Factor of 32,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,100 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 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 32,100 . The biggest common factor number is the GCF number.
So the greatest common factor 32,100 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 171/32, 688/100

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 171/32, 688/100?

Answer: LCM of Numerators as per given numbers 171/32, 688/100 is

LCM of Numerators i.e. for 171,688 is 117648

GCF of denominators i.e. for 32,100 is 4.

Thus, LCM of Fractions is 29412.Finally, LCM of Fractions for 171/32, 688/100 is 29412.