Least Common Multiple of 10/274, 6834/1728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/274, 6834/1728 quickly i.e. 17085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/274, 6834/1728 is 17085.

LCM(10/274, 6834/1728) = 17085

LCM of 10/274, 6834/1728

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 10/274,6834/1728

Given numbers are 10/274,6834/1728

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 10,6834

Least Common Multiple of Numerators i.e. LCM of 10,6834 is 34170.

GCF of Denominators means GCF of 274,1728 as per the given fractions.

GCF of 274,1728 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,6834

LCM of Fractions 10/274,6834/1728 is 17085

2 10, 6834
5, 3417

∴ So the LCM of the given numbers is 2 x 5 x 3417 = 34170

Least Common Multiple of 10,6834 with GCF Formula

Least Common Multiple of 10,6834 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 10,6834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,6834) = 2

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

GCF(10,6834) x common factors =2 x 1 = 2

LCM(10,6834) = ( 10 × 6834 ) / 2

LCM(10,6834) = 68340 / 2

LCM(10,6834) = 34170


Lets's calculate GCF of 274,1728

2 274, 1728
137, 864

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34170/2

Therefore the LCM of Fractions 10/274,6834/1728 is 17085

Greatest Common Factor of 274,1728 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,1728 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 1728

List of positive integer factors of 1728 that divides 1728 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,144,192,216,288,432,576,864,1728

Greatest Common Factor

We found the factors 274,1728 . The biggest common factor number is the GCF number.
So the greatest common factor 274,1728 is 2.


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 10/274, 6834/1728

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 10/274, 6834/1728?

Answer: LCM of Numerators as per given numbers 10/274, 6834/1728 is

LCM of Numerators i.e. for 10,6834 is 34170

GCF of denominators i.e. for 274,1728 is 2.

Thus, LCM of Fractions is 17085.Finally, LCM of Fractions for 10/274, 6834/1728 is 17085.