Least Common Multiple of 234/34, 411/4918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/34, 411/4918 quickly i.e. 16029 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/34, 411/4918 is 16029.

LCM(234/34, 411/4918) = 16029

LCM of 234/34, 411/4918

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 234/34,411/4918

Given numbers are 234/34,411/4918

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 234,411

Least Common Multiple of Numerators i.e. LCM of 234,411 is 32058.

GCF of Denominators means GCF of 34,4918 as per the given fractions.

GCF of 34,4918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,411

LCM of Fractions 234/34,411/4918 is 16029

3 234, 411
78, 137

∴ So the LCM of the given numbers is 3 x 78 x 137 = 32058

Least Common Multiple of 234,411 with GCF Formula

Least Common Multiple of 234,411 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 234,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,411) = 3

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

GCF(234,411) x common factors =3 x 1 = 3

LCM(234,411) = ( 234 × 411 ) / 3

LCM(234,411) = 96174 / 3

LCM(234,411) = 32058


Lets's calculate GCF of 34,4918

2 34, 4918
17, 2459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32058/2

Therefore the LCM of Fractions 234/34,411/4918 is 16029

Greatest Common Factor of 34,4918 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,4918 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 4918

List of positive integer factors of 4918 that divides 4918 without a remainder.

1,2,2459,4918

Greatest Common Factor

We found the factors 34,4918 . The biggest common factor number is the GCF number.
So the greatest common factor 34,4918 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 234/34, 411/4918

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 234/34, 411/4918?

Answer: LCM of Numerators as per given numbers 234/34, 411/4918 is

LCM of Numerators i.e. for 234,411 is 32058

GCF of denominators i.e. for 34,4918 is 2.

Thus, LCM of Fractions is 16029.Finally, LCM of Fractions for 234/34, 411/4918 is 16029.