Least Common Multiple of 671/636, 2723/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 671/636, 2723/496 quickly i.e. 1827133/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 671/636, 2723/496 is 1827133/4.

LCM(671/636, 2723/496) = 1827133/4

LCM of 671/636, 2723/496

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 671/636,2723/496

Given numbers are 671/636,2723/496

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 671,2723

Least Common Multiple of Numerators i.e. LCM of 671,2723 is 1827133.

GCF of Denominators means GCF of 636,496 as per the given fractions.

GCF of 636,496 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 671,2723

LCM of Fractions 671/636,2723/496 is 1827133/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 1827133

Least Common Multiple of 671,2723 with GCF Formula

Least Common Multiple of 671,2723 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 671,2723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,2723) = 1

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

GCF(671,2723) x common factors =1 x 1 = 1

LCM(671,2723) = ( 671 × 2723 ) / 1

LCM(671,2723) = 1827133 / 1

LCM(671,2723) = 1827133


Lets's calculate GCF of 636,496

2 636, 496
2 318, 248
159, 124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1827133/4

Therefore the LCM of Fractions 671/636,2723/496 is 1827133/4

Greatest Common Factor of 636,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,496 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 636,496 . The biggest common factor number is the GCF number.
So the greatest common factor 636,496 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 671/636, 2723/496

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 671/636, 2723/496?

Answer: LCM of Numerators as per given numbers 671/636, 2723/496 is

LCM of Numerators i.e. for 671,2723 is 1827133

GCF of denominators i.e. for 636,496 is 4.

Thus, LCM of Fractions is 1827133/4.Finally, LCM of Fractions for 671/636, 2723/496 is 1827133/4.