Least Common Multiple of 4282/727, 3821/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4282/727, 3821/240 quickly i.e. 16361522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4282/727, 3821/240 is 16361522.

LCM(4282/727, 3821/240) = 16361522

LCM of 4282/727, 3821/240

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 4282/727,3821/240

Given numbers are 4282/727,3821/240

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 4282,3821

Least Common Multiple of Numerators i.e. LCM of 4282,3821 is 16361522.

GCF of Denominators means GCF of 727,240 as per the given fractions.

GCF of 727,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4282,3821

LCM of Fractions 4282/727,3821/240 is 16361522

Given numbers has no common factors except 1. So, there LCM is their product i.e 16361522

Least Common Multiple of 4282,3821 with GCF Formula

Least Common Multiple of 4282,3821 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 4282,3821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4282,3821) = 1

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

GCF(4282,3821) x common factors =1 x 1 = 1

LCM(4282,3821) = ( 4282 × 3821 ) / 1

LCM(4282,3821) = 16361522 / 1

LCM(4282,3821) = 16361522


Lets's calculate GCF of 727,240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16361522/1

Therefore the LCM of Fractions 4282/727,3821/240 is 16361522

Greatest Common Factor of 727,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,240 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 727,240 . The biggest common factor number is the GCF number.
So the greatest common factor 727,240 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4282/727, 3821/240

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 4282/727, 3821/240?

Answer: LCM of Numerators as per given numbers 4282/727, 3821/240 is

LCM of Numerators i.e. for 4282,3821 is 16361522

GCF of denominators i.e. for 727,240 is 1.

Thus, LCM of Fractions is 16361522.Finally, LCM of Fractions for 4282/727, 3821/240 is 16361522.