Least Common Multiple of 3723/96, 4388/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3723/96, 4388/342 quickly i.e. 2722754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3723/96, 4388/342 is 2722754.

LCM(3723/96, 4388/342) = 2722754

LCM of 3723/96, 4388/342

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 3723/96,4388/342

Given numbers are 3723/96,4388/342

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 3723,4388

Least Common Multiple of Numerators i.e. LCM of 3723,4388 is 16336524.

GCF of Denominators means GCF of 96,342 as per the given fractions.

GCF of 96,342 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3723,4388

LCM of Fractions 3723/96,4388/342 is 2722754

Given numbers has no common factors except 1. So, there LCM is their product i.e 16336524

Least Common Multiple of 3723,4388 with GCF Formula

Least Common Multiple of 3723,4388 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 3723,4388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3723,4388) = 1

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

GCF(3723,4388) x common factors =1 x 1 = 1

LCM(3723,4388) = ( 3723 × 4388 ) / 1

LCM(3723,4388) = 16336524 / 1

LCM(3723,4388) = 16336524


Lets's calculate GCF of 96,342

2 96, 342
3 48, 171
16, 57

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16336524/6

Therefore the LCM of Fractions 3723/96,4388/342 is 2722754

Greatest Common Factor of 96,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,342 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 96,342 . The biggest common factor number is the GCF number.
So the greatest common factor 96,342 is 6.


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 3723/96, 4388/342

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 3723/96, 4388/342?

Answer: LCM of Numerators as per given numbers 3723/96, 4388/342 is

LCM of Numerators i.e. for 3723,4388 is 16336524

GCF of denominators i.e. for 96,342 is 6.

Thus, LCM of Fractions is 2722754.Finally, LCM of Fractions for 3723/96, 4388/342 is 2722754.