Least Common Multiple of 429/259, 210/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 429/259, 210/509 quickly i.e. 30030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 429/259, 210/509 is 30030.

LCM(429/259, 210/509) = 30030

LCM of 429/259, 210/509

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 429/259,210/509

Given numbers are 429/259,210/509

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 429,210

Least Common Multiple of Numerators i.e. LCM of 429,210 is 30030.

GCF of Denominators means GCF of 259,509 as per the given fractions.

GCF of 259,509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 429,210

LCM of Fractions 429/259,210/509 is 30030

3 429, 210
143, 70

∴ So the LCM of the given numbers is 3 x 143 x 70 = 30030

Least Common Multiple of 429,210 with GCF Formula

Least Common Multiple of 429,210 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 429,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,210) = 3

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

GCF(429,210) x common factors =3 x 1 = 3

LCM(429,210) = ( 429 × 210 ) / 3

LCM(429,210) = 90090 / 3

LCM(429,210) = 30030


Lets's calculate GCF of 259,509

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30030/1

Therefore the LCM of Fractions 429/259,210/509 is 30030

Greatest Common Factor of 259,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,509 By Matching Biggest Common Factor Method

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 259,509 . The biggest common factor number is the GCF number.
So the greatest common factor 259,509 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 429/259, 210/509

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 429/259, 210/509?

Answer: LCM of Numerators as per given numbers 429/259, 210/509 is

LCM of Numerators i.e. for 429,210 is 30030

GCF of denominators i.e. for 259,509 is 1.

Thus, LCM of Fractions is 30030.Finally, LCM of Fractions for 429/259, 210/509 is 30030.