Least Common Multiple of 404/900, 228/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 404/900, 228/546 quickly i.e. 3838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 404/900, 228/546 is 3838.

LCM(404/900, 228/546) = 3838

LCM of 404/900, 228/546

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 404/900,228/546

Given numbers are 404/900,228/546

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 404,228

Least Common Multiple of Numerators i.e. LCM of 404,228 is 23028.

GCF of Denominators means GCF of 900,546 as per the given fractions.

GCF of 900,546 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 404,228

LCM of Fractions 404/900,228/546 is 3838

2 404, 228
2 202, 114
101, 57

∴ So the LCM of the given numbers is 2 x 2 x 101 x 57 = 23028

Least Common Multiple of 404,228 with GCF Formula

Least Common Multiple of 404,228 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 404,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,228) = 4

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

GCF(404,228) x common factors =4 x 1 = 4

LCM(404,228) = ( 404 × 228 ) / 4

LCM(404,228) = 92112 / 4

LCM(404,228) = 23028


Lets's calculate GCF of 900,546

2 900, 546
3 450, 273
150, 91

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23028/6

Therefore the LCM of Fractions 404/900,228/546 is 3838

Greatest Common Factor of 900,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,546 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 900,546 . The biggest common factor number is the GCF number.
So the greatest common factor 900,546 is 6.


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 404/900, 228/546

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 404/900, 228/546?

Answer: LCM of Numerators as per given numbers 404/900, 228/546 is

LCM of Numerators i.e. for 404,228 is 23028

GCF of denominators i.e. for 900,546 is 6.

Thus, LCM of Fractions is 3838.Finally, LCM of Fractions for 404/900, 228/546 is 3838.