Least Common Multiple of 4096/740, 3521/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4096/740, 3521/268 quickly i.e. 3605504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4096/740, 3521/268 is 3605504.

LCM(4096/740, 3521/268) = 3605504

LCM of 4096/740, 3521/268

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 4096/740,3521/268

Given numbers are 4096/740,3521/268

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 4096,3521

Least Common Multiple of Numerators i.e. LCM of 4096,3521 is 14422016.

GCF of Denominators means GCF of 740,268 as per the given fractions.

GCF of 740,268 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4096,3521

LCM of Fractions 4096/740,3521/268 is 3605504

Given numbers has no common factors except 1. So, there LCM is their product i.e 14422016

Least Common Multiple of 4096,3521 with GCF Formula

Least Common Multiple of 4096,3521 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 4096,3521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4096,3521) = 1

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

GCF(4096,3521) x common factors =1 x 1 = 1

LCM(4096,3521) = ( 4096 × 3521 ) / 1

LCM(4096,3521) = 14422016 / 1

LCM(4096,3521) = 14422016


Lets's calculate GCF of 740,268

2 740, 268
2 370, 134
185, 67

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14422016/4

Therefore the LCM of Fractions 4096/740,3521/268 is 3605504

Greatest Common Factor of 740,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,268 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 740,268 . The biggest common factor number is the GCF number.
So the greatest common factor 740,268 is 4.


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 4096/740, 3521/268

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 4096/740, 3521/268?

Answer: LCM of Numerators as per given numbers 4096/740, 3521/268 is

LCM of Numerators i.e. for 4096,3521 is 14422016

GCF of denominators i.e. for 740,268 is 4.

Thus, LCM of Fractions is 3605504.Finally, LCM of Fractions for 4096/740, 3521/268 is 3605504.