Least Common Multiple of 168/51, 683/38, 428/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 168/51, 683/38, 428/108 quickly i.e. 12277608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 168/51, 683/38, 428/108 is 12277608.

LCM(168/51, 683/38, 428/108) = 12277608

LCM of 168/51, 683/38, 428/108

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 168/51,683/38,428/108

Given numbers are 168/51,683/38,428/108

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 168,683,428

Least Common Multiple of Numerators i.e. LCM of 168,683,428 is 12277608.

GCF of Denominators means GCF of 51,38,108 as per the given fractions.

GCF of 51,38,108 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 168,683,428

LCM of Fractions 168/51,683/38,428/108 is 12277608

2 168, 683, 428
2 84, 683, 214
42, 683, 107

∴ So the LCM of the given numbers is 2 x 2 x 42 x 683 x 107 = 12277608

Least Common Multiple of 168,683,428 with GCF Formula

Least Common Multiple of 168,683,428 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 168,683,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,683,428) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(168,683,428) x common factors =1 x 4 = 4

LCM(168,683,428) = ( 168 × 683 × 428 ) / 4

LCM(168,683,428) = 49110432 / 4

LCM(168,683,428) = 12277608


Lets's calculate GCF of 51,38,108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12277608/1

Therefore the LCM of Fractions 168/51,683/38,428/108 is 12277608

Greatest Common Factor of 51,38,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,38,108 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 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 51,38,108 . The biggest common factor number is the GCF number.
So the greatest common factor 51,38,108 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 168/51, 683/38, 428/108

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 168/51, 683/38, 428/108?

Answer: LCM of Numerators as per given numbers 168/51, 683/38, 428/108 is

LCM of Numerators i.e. for 168,683,428 is 12277608

GCF of denominators i.e. for 51,38,108 is 1.

Thus, LCM of Fractions is 12277608.Finally, LCM of Fractions for 168/51, 683/38, 428/108 is 12277608.