Least Common Multiple of 5523/334, 3851/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5523/334, 3851/754 quickly i.e. 21269073/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5523/334, 3851/754 is 21269073/2.

LCM(5523/334, 3851/754) = 21269073/2

LCM of 5523/334, 3851/754

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 5523/334,3851/754

Given numbers are 5523/334,3851/754

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 5523,3851

Least Common Multiple of Numerators i.e. LCM of 5523,3851 is 21269073.

GCF of Denominators means GCF of 334,754 as per the given fractions.

GCF of 334,754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5523,3851

LCM of Fractions 5523/334,3851/754 is 21269073/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 21269073

Least Common Multiple of 5523,3851 with GCF Formula

Least Common Multiple of 5523,3851 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 5523,3851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5523,3851) = 1

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

GCF(5523,3851) x common factors =1 x 1 = 1

LCM(5523,3851) = ( 5523 × 3851 ) / 1

LCM(5523,3851) = 21269073 / 1

LCM(5523,3851) = 21269073


Lets's calculate GCF of 334,754

2 334, 754
167, 377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21269073/2

Therefore the LCM of Fractions 5523/334,3851/754 is 21269073/2

Greatest Common Factor of 334,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,754 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 334,754 . The biggest common factor number is the GCF number.
So the greatest common factor 334,754 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 5523/334, 3851/754

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 5523/334, 3851/754?

Answer: LCM of Numerators as per given numbers 5523/334, 3851/754 is

LCM of Numerators i.e. for 5523,3851 is 21269073

GCF of denominators i.e. for 334,754 is 2.

Thus, LCM of Fractions is 21269073/2.Finally, LCM of Fractions for 5523/334, 3851/754 is 21269073/2.