Least Common Multiple of 1814/54, 4997/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1814/54, 4997/244 quickly i.e. 4532279 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1814/54, 4997/244 is 4532279.

LCM(1814/54, 4997/244) = 4532279

LCM of 1814/54, 4997/244

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 1814/54,4997/244

Given numbers are 1814/54,4997/244

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 1814,4997

Least Common Multiple of Numerators i.e. LCM of 1814,4997 is 9064558.

GCF of Denominators means GCF of 54,244 as per the given fractions.

GCF of 54,244 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1814,4997

LCM of Fractions 1814/54,4997/244 is 4532279

Given numbers has no common factors except 1. So, there LCM is their product i.e 9064558

Least Common Multiple of 1814,4997 with GCF Formula

Least Common Multiple of 1814,4997 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 1814,4997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1814,4997) = 1

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

GCF(1814,4997) x common factors =1 x 1 = 1

LCM(1814,4997) = ( 1814 × 4997 ) / 1

LCM(1814,4997) = 9064558 / 1

LCM(1814,4997) = 9064558


Lets's calculate GCF of 54,244

2 54, 244
27, 122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9064558/2

Therefore the LCM of Fractions 1814/54,4997/244 is 4532279

Greatest Common Factor of 54,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,244 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 54,244 . The biggest common factor number is the GCF number.
So the greatest common factor 54,244 is 2.


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 1814/54, 4997/244

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 1814/54, 4997/244?

Answer: LCM of Numerators as per given numbers 1814/54, 4997/244 is

LCM of Numerators i.e. for 1814,4997 is 9064558

GCF of denominators i.e. for 54,244 is 2.

Thus, LCM of Fractions is 4532279.Finally, LCM of Fractions for 1814/54, 4997/244 is 4532279.