Least Common Multiple of 509/69, 929/4042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/69, 929/4042 quickly i.e. 472861 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/69, 929/4042 is 472861.

LCM(509/69, 929/4042) = 472861

LCM of 509/69, 929/4042

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 509/69,929/4042

Given numbers are 509/69,929/4042

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 509,929

Least Common Multiple of Numerators i.e. LCM of 509,929 is 472861.

GCF of Denominators means GCF of 69,4042 as per the given fractions.

GCF of 69,4042 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,929

LCM of Fractions 509/69,929/4042 is 472861

Given numbers has no common factors except 1. So, there LCM is their product i.e 472861

Least Common Multiple of 509,929 with GCF Formula

Least Common Multiple of 509,929 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 509,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,929) = 1

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

GCF(509,929) x common factors =1 x 1 = 1

LCM(509,929) = ( 509 × 929 ) / 1

LCM(509,929) = 472861 / 1

LCM(509,929) = 472861


Lets's calculate GCF of 69,4042

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 472861/1

Therefore the LCM of Fractions 509/69,929/4042 is 472861

Greatest Common Factor of 69,4042 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,4042 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 4042

List of positive integer factors of 4042 that divides 4042 without a remainder.

1,2,43,47,86,94,2021,4042

Greatest Common Factor

We found the factors 69,4042 . The biggest common factor number is the GCF number.
So the greatest common factor 69,4042 is 1.


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 509/69, 929/4042

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 509/69, 929/4042?

Answer: LCM of Numerators as per given numbers 509/69, 929/4042 is

LCM of Numerators i.e. for 509,929 is 472861

GCF of denominators i.e. for 69,4042 is 1.

Thus, LCM of Fractions is 472861.Finally, LCM of Fractions for 509/69, 929/4042 is 472861.