Least Common Multiple of 824/60, 228/1654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/60, 228/1654 quickly i.e. 23484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/60, 228/1654 is 23484.

LCM(824/60, 228/1654) = 23484

LCM of 824/60, 228/1654

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 824/60,228/1654

Given numbers are 824/60,228/1654

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 824,228

Least Common Multiple of Numerators i.e. LCM of 824,228 is 46968.

GCF of Denominators means GCF of 60,1654 as per the given fractions.

GCF of 60,1654 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,228

LCM of Fractions 824/60,228/1654 is 23484

2 824, 228
2 412, 114
206, 57

∴ So the LCM of the given numbers is 2 x 2 x 206 x 57 = 46968

Least Common Multiple of 824,228 with GCF Formula

Least Common Multiple of 824,228 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 824,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,228) = 4

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

GCF(824,228) x common factors =4 x 1 = 4

LCM(824,228) = ( 824 × 228 ) / 4

LCM(824,228) = 187872 / 4

LCM(824,228) = 46968


Lets's calculate GCF of 60,1654

2 60, 1654
30, 827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46968/2

Therefore the LCM of Fractions 824/60,228/1654 is 23484

Greatest Common Factor of 60,1654 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,1654 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 1654

List of positive integer factors of 1654 that divides 1654 without a remainder.

1,2,827,1654

Greatest Common Factor

We found the factors 60,1654 . The biggest common factor number is the GCF number.
So the greatest common factor 60,1654 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 824/60, 228/1654

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 824/60, 228/1654?

Answer: LCM of Numerators as per given numbers 824/60, 228/1654 is

LCM of Numerators i.e. for 824,228 is 46968

GCF of denominators i.e. for 60,1654 is 2.

Thus, LCM of Fractions is 23484.Finally, LCM of Fractions for 824/60, 228/1654 is 23484.