Least Common Multiple of 548/209, 4424/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 548/209, 4424/318 quickly i.e. 606088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 548/209, 4424/318 is 606088.

LCM(548/209, 4424/318) = 606088

LCM of 548/209, 4424/318

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 548/209,4424/318

Given numbers are 548/209,4424/318

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 548,4424

Least Common Multiple of Numerators i.e. LCM of 548,4424 is 606088.

GCF of Denominators means GCF of 209,318 as per the given fractions.

GCF of 209,318 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 548,4424

LCM of Fractions 548/209,4424/318 is 606088

2 548, 4424
2 274, 2212
137, 1106

∴ So the LCM of the given numbers is 2 x 2 x 137 x 1106 = 606088

Least Common Multiple of 548,4424 with GCF Formula

Least Common Multiple of 548,4424 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 548,4424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,4424) = 4

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

GCF(548,4424) x common factors =4 x 1 = 4

LCM(548,4424) = ( 548 × 4424 ) / 4

LCM(548,4424) = 2424352 / 4

LCM(548,4424) = 606088


Lets's calculate GCF of 209,318

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 606088/1

Therefore the LCM of Fractions 548/209,4424/318 is 606088

Greatest Common Factor of 209,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,318 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 209,318 . The biggest common factor number is the GCF number.
So the greatest common factor 209,318 is 1.


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 548/209, 4424/318

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 548/209, 4424/318?

Answer: LCM of Numerators as per given numbers 548/209, 4424/318 is

LCM of Numerators i.e. for 548,4424 is 606088

GCF of denominators i.e. for 209,318 is 1.

Thus, LCM of Fractions is 606088.Finally, LCM of Fractions for 548/209, 4424/318 is 606088.