Least Common Multiple of 68/30, 51/30, 168/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/30, 51/30, 168/132 quickly i.e. 476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/30, 51/30, 168/132 is 476.

LCM(68/30, 51/30, 168/132) = 476

LCM of 68/30, 51/30, 168/132

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 68/30,51/30,168/132

Given numbers are 68/30,51/30,168/132

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 68,51,168

Least Common Multiple of Numerators i.e. LCM of 68,51,168 is 2856.

GCF of Denominators means GCF of 30,30,132 as per the given fractions.

GCF of 30,30,132 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,51,168

LCM of Fractions 68/30,51/30,168/132 is 476

2 68, 51, 168
2 34, 51, 84
3 17, 51, 42
17 17, 17, 14
1, 1, 14

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 1 x 1 x 14 = 2856

Least Common Multiple of 68,51,168 with GCF Formula

Least Common Multiple of 68,51,168 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 68,51,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,51,168) = 1

common factors(in case of two or more numbers have common factors) = 204

GCF(68,51,168) x common factors =1 x 204 = 204

LCM(68,51,168) = ( 68 × 51 × 168 ) / 204

LCM(68,51,168) = 582624 / 204

LCM(68,51,168) = 2856


Lets's calculate GCF of 30,30,132

2 30, 30, 132
3 15, 15, 66
5, 5, 22

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2856/6

Therefore the LCM of Fractions 68/30,51/30,168/132 is 476

Greatest Common Factor of 30,30,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,30,132 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 30,30,132 . The biggest common factor number is the GCF number.
So the greatest common factor 30,30,132 is 6.


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 68/30, 51/30, 168/132

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 68/30, 51/30, 168/132?

Answer: LCM of Numerators as per given numbers 68/30, 51/30, 168/132 is

LCM of Numerators i.e. for 68,51,168 is 2856

GCF of denominators i.e. for 30,30,132 is 6.

Thus, LCM of Fractions is 476.Finally, LCM of Fractions for 68/30, 51/30, 168/132 is 476.