Least Common Multiple of 428/304, 2209/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/304, 2209/278 quickly i.e. 472726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/304, 2209/278 is 472726.

LCM(428/304, 2209/278) = 472726

LCM of 428/304, 2209/278

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 428/304,2209/278

Given numbers are 428/304,2209/278

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 428,2209

Least Common Multiple of Numerators i.e. LCM of 428,2209 is 945452.

GCF of Denominators means GCF of 304,278 as per the given fractions.

GCF of 304,278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,2209

LCM of Fractions 428/304,2209/278 is 472726

Given numbers has no common factors except 1. So, there LCM is their product i.e 945452

Least Common Multiple of 428,2209 with GCF Formula

Least Common Multiple of 428,2209 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 428,2209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,2209) = 1

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

GCF(428,2209) x common factors =1 x 1 = 1

LCM(428,2209) = ( 428 × 2209 ) / 1

LCM(428,2209) = 945452 / 1

LCM(428,2209) = 945452


Lets's calculate GCF of 304,278

2 304, 278
152, 139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 945452/2

Therefore the LCM of Fractions 428/304,2209/278 is 472726

Greatest Common Factor of 304,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,278 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 304,278 . The biggest common factor number is the GCF number.
So the greatest common factor 304,278 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 428/304, 2209/278

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 428/304, 2209/278?

Answer: LCM of Numerators as per given numbers 428/304, 2209/278 is

LCM of Numerators i.e. for 428,2209 is 945452

GCF of denominators i.e. for 304,278 is 2.

Thus, LCM of Fractions is 472726.Finally, LCM of Fractions for 428/304, 2209/278 is 472726.