Least Common Multiple of 428/609, 165/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/609, 165/114 quickly i.e. 23540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/609, 165/114 is 23540.

LCM(428/609, 165/114) = 23540

LCM of 428/609, 165/114

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 428/609,165/114

Given numbers are 428/609,165/114

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 428,165

Least Common Multiple of Numerators i.e. LCM of 428,165 is 70620.

GCF of Denominators means GCF of 609,114 as per the given fractions.

GCF of 609,114 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,165

LCM of Fractions 428/609,165/114 is 23540

Given numbers has no common factors except 1. So, there LCM is their product i.e 70620

Least Common Multiple of 428,165 with GCF Formula

Least Common Multiple of 428,165 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 428,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,165) = 1

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

GCF(428,165) x common factors =1 x 1 = 1

LCM(428,165) = ( 428 × 165 ) / 1

LCM(428,165) = 70620 / 1

LCM(428,165) = 70620


Lets's calculate GCF of 609,114

3 609, 114
203, 38

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70620/3

Therefore the LCM of Fractions 428/609,165/114 is 23540

Greatest Common Factor of 609,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,114 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 609,114 . The biggest common factor number is the GCF number.
So the greatest common factor 609,114 is 3.


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 428/609, 165/114

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 428/609, 165/114?

Answer: LCM of Numerators as per given numbers 428/609, 165/114 is

LCM of Numerators i.e. for 428,165 is 70620

GCF of denominators i.e. for 609,114 is 3.

Thus, LCM of Fractions is 23540.Finally, LCM of Fractions for 428/609, 165/114 is 23540.