Least Common Multiple of 446/68, 828/4924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 446/68, 828/4924 quickly i.e. 46161 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 446/68, 828/4924 is 46161.

LCM(446/68, 828/4924) = 46161

LCM of 446/68, 828/4924

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 446/68,828/4924

Given numbers are 446/68,828/4924

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 446,828

Least Common Multiple of Numerators i.e. LCM of 446,828 is 184644.

GCF of Denominators means GCF of 68,4924 as per the given fractions.

GCF of 68,4924 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 446,828

LCM of Fractions 446/68,828/4924 is 46161

2 446, 828
223, 414

∴ So the LCM of the given numbers is 2 x 223 x 414 = 184644

Least Common Multiple of 446,828 with GCF Formula

Least Common Multiple of 446,828 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 446,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(446,828) = 2

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

GCF(446,828) x common factors =2 x 1 = 2

LCM(446,828) = ( 446 × 828 ) / 2

LCM(446,828) = 369288 / 2

LCM(446,828) = 184644


Lets's calculate GCF of 68,4924

2 68, 4924
2 34, 2462
17, 1231

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184644/4

Therefore the LCM of Fractions 446/68,828/4924 is 46161

Greatest Common Factor of 68,4924 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,4924 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 4924

List of positive integer factors of 4924 that divides 4924 without a remainder.

1,2,4,1231,2462,4924

Greatest Common Factor

We found the factors 68,4924 . The biggest common factor number is the GCF number.
So the greatest common factor 68,4924 is 4.


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 446/68, 828/4924

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 446/68, 828/4924?

Answer: LCM of Numerators as per given numbers 446/68, 828/4924 is

LCM of Numerators i.e. for 446,828 is 184644

GCF of denominators i.e. for 68,4924 is 4.

Thus, LCM of Fractions is 46161.Finally, LCM of Fractions for 446/68, 828/4924 is 46161.