Least Common Multiple of 3168/274, 3759/1617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3168/274, 3759/1617 quickly i.e. 3969504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3168/274, 3759/1617 is 3969504.

LCM(3168/274, 3759/1617) = 3969504

LCM of 3168/274, 3759/1617

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 3168/274,3759/1617

Given numbers are 3168/274,3759/1617

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 3168,3759

Least Common Multiple of Numerators i.e. LCM of 3168,3759 is 3969504.

GCF of Denominators means GCF of 274,1617 as per the given fractions.

GCF of 274,1617 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3168,3759

LCM of Fractions 3168/274,3759/1617 is 3969504

3 3168, 3759
1056, 1253

∴ So the LCM of the given numbers is 3 x 1056 x 1253 = 3969504

Least Common Multiple of 3168,3759 with GCF Formula

Least Common Multiple of 3168,3759 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 3168,3759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3168,3759) = 3

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

GCF(3168,3759) x common factors =3 x 1 = 3

LCM(3168,3759) = ( 3168 × 3759 ) / 3

LCM(3168,3759) = 11908512 / 3

LCM(3168,3759) = 3969504


Lets's calculate GCF of 274,1617

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3969504/1

Therefore the LCM of Fractions 3168/274,3759/1617 is 3969504

Greatest Common Factor of 274,1617 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,1617 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 1617

List of positive integer factors of 1617 that divides 1617 without a remainder.

1,3,7,11,21,33,49,77,147,231,539,1617

Greatest Common Factor

We found the factors 274,1617 . The biggest common factor number is the GCF number.
So the greatest common factor 274,1617 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 3168/274, 3759/1617

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 3168/274, 3759/1617?

Answer: LCM of Numerators as per given numbers 3168/274, 3759/1617 is

LCM of Numerators i.e. for 3168,3759 is 3969504

GCF of denominators i.e. for 274,1617 is 1.

Thus, LCM of Fractions is 3969504.Finally, LCM of Fractions for 3168/274, 3759/1617 is 3969504.