Least Common Multiple of 144/627, 8463/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/627, 8463/874 quickly i.e. 406224/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/627, 8463/874 is 406224/19.

LCM(144/627, 8463/874) = 406224/19

LCM of 144/627, 8463/874

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 144/627,8463/874

Given numbers are 144/627,8463/874

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 144,8463

Least Common Multiple of Numerators i.e. LCM of 144,8463 is 406224.

GCF of Denominators means GCF of 627,874 as per the given fractions.

GCF of 627,874 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,8463

LCM of Fractions 144/627,8463/874 is 406224/19

3 144, 8463
48, 2821

∴ So the LCM of the given numbers is 3 x 48 x 2821 = 406224

Least Common Multiple of 144,8463 with GCF Formula

Least Common Multiple of 144,8463 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 144,8463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,8463) = 3

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

GCF(144,8463) x common factors =3 x 1 = 3

LCM(144,8463) = ( 144 × 8463 ) / 3

LCM(144,8463) = 1218672 / 3

LCM(144,8463) = 406224


Lets's calculate GCF of 627,874

19 627, 874
33, 46

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406224/19

Therefore the LCM of Fractions 144/627,8463/874 is 406224/19

Greatest Common Factor of 627,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,874 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 627,874 . The biggest common factor number is the GCF number.
So the greatest common factor 627,874 is 19.


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 144/627, 8463/874

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 144/627, 8463/874?

Answer: LCM of Numerators as per given numbers 144/627, 8463/874 is

LCM of Numerators i.e. for 144,8463 is 406224

GCF of denominators i.e. for 627,874 is 19.

Thus, LCM of Fractions is 406224/19.Finally, LCM of Fractions for 144/627, 8463/874 is 406224/19.