Least Common Multiple of 3887/33, 7380/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3887/33, 7380/253 quickly i.e. 28686060/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3887/33, 7380/253 is 28686060/11.

LCM(3887/33, 7380/253) = 28686060/11

LCM of 3887/33, 7380/253

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 3887/33,7380/253

Given numbers are 3887/33,7380/253

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 3887,7380

Least Common Multiple of Numerators i.e. LCM of 3887,7380 is 28686060.

GCF of Denominators means GCF of 33,253 as per the given fractions.

GCF of 33,253 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3887,7380

LCM of Fractions 3887/33,7380/253 is 28686060/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 28686060

Least Common Multiple of 3887,7380 with GCF Formula

Least Common Multiple of 3887,7380 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 3887,7380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3887,7380) = 1

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

GCF(3887,7380) x common factors =1 x 1 = 1

LCM(3887,7380) = ( 3887 × 7380 ) / 1

LCM(3887,7380) = 28686060 / 1

LCM(3887,7380) = 28686060


Lets's calculate GCF of 33,253

11 33, 253
3, 23

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28686060/11

Therefore the LCM of Fractions 3887/33,7380/253 is 28686060/11

Greatest Common Factor of 33,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,253 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 33,253 . The biggest common factor number is the GCF number.
So the greatest common factor 33,253 is 11.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3887/33, 7380/253

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 3887/33, 7380/253?

Answer: LCM of Numerators as per given numbers 3887/33, 7380/253 is

LCM of Numerators i.e. for 3887,7380 is 28686060

GCF of denominators i.e. for 33,253 is 11.

Thus, LCM of Fractions is 28686060/11.Finally, LCM of Fractions for 3887/33, 7380/253 is 28686060/11.