Least Common Multiple of 332/18, 4258/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 332/18, 4258/128 quickly i.e. 353414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 332/18, 4258/128 is 353414.

LCM(332/18, 4258/128) = 353414

LCM of 332/18, 4258/128

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 332/18,4258/128

Given numbers are 332/18,4258/128

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 332,4258

Least Common Multiple of Numerators i.e. LCM of 332,4258 is 706828.

GCF of Denominators means GCF of 18,128 as per the given fractions.

GCF of 18,128 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 332,4258

LCM of Fractions 332/18,4258/128 is 353414

2 332, 4258
166, 2129

∴ So the LCM of the given numbers is 2 x 166 x 2129 = 706828

Least Common Multiple of 332,4258 with GCF Formula

Least Common Multiple of 332,4258 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 332,4258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,4258) = 2

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

GCF(332,4258) x common factors =2 x 1 = 2

LCM(332,4258) = ( 332 × 4258 ) / 2

LCM(332,4258) = 1413656 / 2

LCM(332,4258) = 706828


Lets's calculate GCF of 18,128

2 18, 128
9, 64

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 706828/2

Therefore the LCM of Fractions 332/18,4258/128 is 353414

Greatest Common Factor of 18,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,128 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 18,128 . The biggest common factor number is the GCF number.
So the greatest common factor 18,128 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 332/18, 4258/128

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 332/18, 4258/128?

Answer: LCM of Numerators as per given numbers 332/18, 4258/128 is

LCM of Numerators i.e. for 332,4258 is 706828

GCF of denominators i.e. for 18,128 is 2.

Thus, LCM of Fractions is 353414.Finally, LCM of Fractions for 332/18, 4258/128 is 353414.