Least Common Multiple of 8/32, 8/68, 7/78, 84/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/32, 8/68, 7/78, 84/171 quickly i.e. 168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/32, 8/68, 7/78, 84/171 is 168.

LCM(8/32, 8/68, 7/78, 84/171) = 168

LCM of 8/32, 8/68, 7/78, 84/171

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 8/32,8/68,7/78,84/171

Given numbers are 8/32,8/68,7/78,84/171

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 8,8,7,84

Least Common Multiple of Numerators i.e. LCM of 8,8,7,84 is 168.

GCF of Denominators means GCF of 32,68,78,171 as per the given fractions.

GCF of 32,68,78,171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,8,7,84

LCM of Fractions 8/32,8/68,7/78,84/171 is 168

2 8, 8, 7, 84
2 4, 4, 7, 42
2 2, 2, 7, 21
7 1, 1, 7, 21
1, 1, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 1 x 1 x 3 = 168

Least Common Multiple of 8,8,7,84 with GCF Formula

Least Common Multiple of 8,8,7,84 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 8,8,7,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,8,7,84) = 1

common factors(in case of two or more numbers have common factors) = 224

GCF(8,8,7,84) x common factors =1 x 224 = 224

LCM(8,8,7,84) = ( 8 × 8 × 7 × 84 ) / 224

LCM(8,8,7,84) = 37632 / 224

LCM(8,8,7,84) = 168


Lets's calculate GCF of 32,68,78,171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168/1

Therefore the LCM of Fractions 8/32,8/68,7/78,84/171 is 168

Greatest Common Factor of 32,68,78,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,68,78,171 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 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 32,68,78,171 . The biggest common factor number is the GCF number.
So the greatest common factor 32,68,78,171 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 8/32, 8/68, 7/78, 84/171

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 8/32, 8/68, 7/78, 84/171?

Answer: LCM of Numerators as per given numbers 8/32, 8/68, 7/78, 84/171 is

LCM of Numerators i.e. for 8,8,7,84 is 168

GCF of denominators i.e. for 32,68,78,171 is 1.

Thus, LCM of Fractions is 168.Finally, LCM of Fractions for 8/32, 8/68, 7/78, 84/171 is 168.