Least Common Multiple of 68/51, 68/45, 21/36, 19/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/51, 68/45, 21/36, 19/177 quickly i.e. 9044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/51, 68/45, 21/36, 19/177 is 9044.

LCM(68/51, 68/45, 21/36, 19/177) = 9044

LCM of 68/51, 68/45, 21/36, 19/177

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 68/51,68/45,21/36,19/177

Given numbers are 68/51,68/45,21/36,19/177

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 68,68,21,19

Least Common Multiple of Numerators i.e. LCM of 68,68,21,19 is 27132.

GCF of Denominators means GCF of 51,45,36,177 as per the given fractions.

GCF of 51,45,36,177 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,68,21,19

LCM of Fractions 68/51,68/45,21/36,19/177 is 9044

2 68, 68, 21, 19
2 34, 34, 21, 19
17 17, 17, 21, 19
1, 1, 21, 19

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 1 x 21 x 19 = 27132

Least Common Multiple of 68,68,21,19 with GCF Formula

Least Common Multiple of 68,68,21,19 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 68,68,21,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,68,21,19) = 1

common factors(in case of two or more numbers have common factors) = 68

GCF(68,68,21,19) x common factors =1 x 68 = 68

LCM(68,68,21,19) = ( 68 × 68 × 21 × 19 ) / 68

LCM(68,68,21,19) = 1844976 / 68

LCM(68,68,21,19) = 27132


Lets's calculate GCF of 51,45,36,177

3 51, 45, 36, 177
17, 15, 12, 59

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27132/3

Therefore the LCM of Fractions 68/51,68/45,21/36,19/177 is 9044

Greatest Common Factor of 51,45,36,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,45,36,177 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 51,45,36,177 . The biggest common factor number is the GCF number.
So the greatest common factor 51,45,36,177 is 3.


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 68/51, 68/45, 21/36, 19/177

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 68/51, 68/45, 21/36, 19/177?

Answer: LCM of Numerators as per given numbers 68/51, 68/45, 21/36, 19/177 is

LCM of Numerators i.e. for 68,68,21,19 is 27132

GCF of denominators i.e. for 51,45,36,177 is 3.

Thus, LCM of Fractions is 9044.Finally, LCM of Fractions for 68/51, 68/45, 21/36, 19/177 is 9044.