Least Common Multiple of 228/492, 579/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/492, 579/948 quickly i.e. 3667 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/492, 579/948 is 3667.

LCM(228/492, 579/948) = 3667

LCM of 228/492, 579/948

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 228/492,579/948

Given numbers are 228/492,579/948

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 228,579

Least Common Multiple of Numerators i.e. LCM of 228,579 is 44004.

GCF of Denominators means GCF of 492,948 as per the given fractions.

GCF of 492,948 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,579

LCM of Fractions 228/492,579/948 is 3667

3 228, 579
76, 193

∴ So the LCM of the given numbers is 3 x 76 x 193 = 44004

Least Common Multiple of 228,579 with GCF Formula

Least Common Multiple of 228,579 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 228,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,579) = 3

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

GCF(228,579) x common factors =3 x 1 = 3

LCM(228,579) = ( 228 × 579 ) / 3

LCM(228,579) = 132012 / 3

LCM(228,579) = 44004


Lets's calculate GCF of 492,948

2 492, 948
2 246, 474
3 123, 237
41, 79

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44004/12

Therefore the LCM of Fractions 228/492,579/948 is 3667

Greatest Common Factor of 492,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,948 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 492,948 . The biggest common factor number is the GCF number.
So the greatest common factor 492,948 is 12.


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 228/492, 579/948

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 228/492, 579/948?

Answer: LCM of Numerators as per given numbers 228/492, 579/948 is

LCM of Numerators i.e. for 228,579 is 44004

GCF of denominators i.e. for 492,948 is 12.

Thus, LCM of Fractions is 3667.Finally, LCM of Fractions for 228/492, 579/948 is 3667.