Least Common Multiple of 419/20, 879/47, 242/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 419/20, 879/47, 242/504 quickly i.e. 89128842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 419/20, 879/47, 242/504 is 89128842.

LCM(419/20, 879/47, 242/504) = 89128842

LCM of 419/20, 879/47, 242/504

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 419/20,879/47,242/504

Given numbers are 419/20,879/47,242/504

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 419,879,242

Least Common Multiple of Numerators i.e. LCM of 419,879,242 is 89128842.

GCF of Denominators means GCF of 20,47,504 as per the given fractions.

GCF of 20,47,504 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 419,879,242

LCM of Fractions 419/20,879/47,242/504 is 89128842

Given numbers has no common factors except 1. So, there LCM is their product i.e 89128842

Least Common Multiple of 419,879,242 with GCF Formula

Least Common Multiple of 419,879,242 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 419,879,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,879,242) = 1

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

GCF(419,879,242) x common factors =1 x 1 = 1

LCM(419,879,242) = ( 419 × 879 × 242 ) / 1

LCM(419,879,242) = 89128842 / 1

LCM(419,879,242) = 89128842


Lets's calculate GCF of 20,47,504

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89128842/1

Therefore the LCM of Fractions 419/20,879/47,242/504 is 89128842

Greatest Common Factor of 20,47,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,47,504 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 20,47,504 . The biggest common factor number is the GCF number.
So the greatest common factor 20,47,504 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 419/20, 879/47, 242/504

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 419/20, 879/47, 242/504?

Answer: LCM of Numerators as per given numbers 419/20, 879/47, 242/504 is

LCM of Numerators i.e. for 419,879,242 is 89128842

GCF of denominators i.e. for 20,47,504 is 1.

Thus, LCM of Fractions is 89128842.Finally, LCM of Fractions for 419/20, 879/47, 242/504 is 89128842.