Least Common Multiple of 3744/16, 4257/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3744/16, 4257/275 quickly i.e. 1770912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3744/16, 4257/275 is 1770912.

LCM(3744/16, 4257/275) = 1770912

LCM of 3744/16, 4257/275

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 3744/16,4257/275

Given numbers are 3744/16,4257/275

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 3744,4257

Least Common Multiple of Numerators i.e. LCM of 3744,4257 is 1770912.

GCF of Denominators means GCF of 16,275 as per the given fractions.

GCF of 16,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3744,4257

LCM of Fractions 3744/16,4257/275 is 1770912

3 3744, 4257
3 1248, 1419
416, 473

∴ So the LCM of the given numbers is 3 x 3 x 416 x 473 = 1770912

Least Common Multiple of 3744,4257 with GCF Formula

Least Common Multiple of 3744,4257 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 3744,4257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3744,4257) = 9

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

GCF(3744,4257) x common factors =9 x 1 = 9

LCM(3744,4257) = ( 3744 × 4257 ) / 9

LCM(3744,4257) = 15938208 / 9

LCM(3744,4257) = 1770912


Lets's calculate GCF of 16,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1770912/1

Therefore the LCM of Fractions 3744/16,4257/275 is 1770912

Greatest Common Factor of 16,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,275 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 16,275 . The biggest common factor number is the GCF number.
So the greatest common factor 16,275 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 3744/16, 4257/275

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 3744/16, 4257/275?

Answer: LCM of Numerators as per given numbers 3744/16, 4257/275 is

LCM of Numerators i.e. for 3744,4257 is 1770912

GCF of denominators i.e. for 16,275 is 1.

Thus, LCM of Fractions is 1770912.Finally, LCM of Fractions for 3744/16, 4257/275 is 1770912.