Least Common Multiple of 509/34, 842/4210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/34, 842/4210 quickly i.e. 214289 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/34, 842/4210 is 214289.

LCM(509/34, 842/4210) = 214289

LCM of 509/34, 842/4210

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 509/34,842/4210

Given numbers are 509/34,842/4210

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 509,842

Least Common Multiple of Numerators i.e. LCM of 509,842 is 428578.

GCF of Denominators means GCF of 34,4210 as per the given fractions.

GCF of 34,4210 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,842

LCM of Fractions 509/34,842/4210 is 214289

Given numbers has no common factors except 1. So, there LCM is their product i.e 428578

Least Common Multiple of 509,842 with GCF Formula

Least Common Multiple of 509,842 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 509,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,842) = 1

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

GCF(509,842) x common factors =1 x 1 = 1

LCM(509,842) = ( 509 × 842 ) / 1

LCM(509,842) = 428578 / 1

LCM(509,842) = 428578


Lets's calculate GCF of 34,4210

2 34, 4210
17, 2105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428578/2

Therefore the LCM of Fractions 509/34,842/4210 is 214289

Greatest Common Factor of 34,4210 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,4210 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 4210

List of positive integer factors of 4210 that divides 4210 without a remainder.

1,2,5,10,421,842,2105,4210

Greatest Common Factor

We found the factors 34,4210 . The biggest common factor number is the GCF number.
So the greatest common factor 34,4210 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 509/34, 842/4210

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 509/34, 842/4210?

Answer: LCM of Numerators as per given numbers 509/34, 842/4210 is

LCM of Numerators i.e. for 509,842 is 428578

GCF of denominators i.e. for 34,4210 is 2.

Thus, LCM of Fractions is 214289.Finally, LCM of Fractions for 509/34, 842/4210 is 214289.