Least Common Multiple of 904/604, 2209/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 904/604, 2209/840 quickly i.e. 499234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/604, 2209/840 is 499234.

LCM(904/604, 2209/840) = 499234

LCM of 904/604, 2209/840

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 904/604,2209/840

Given numbers are 904/604,2209/840

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 904,2209

Least Common Multiple of Numerators i.e. LCM of 904,2209 is 1996936.

GCF of Denominators means GCF of 604,840 as per the given fractions.

GCF of 604,840 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,2209

LCM of Fractions 904/604,2209/840 is 499234

Given numbers has no common factors except 1. So, there LCM is their product i.e 1996936

Least Common Multiple of 904,2209 with GCF Formula

Least Common Multiple of 904,2209 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 904,2209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,2209) = 1

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

GCF(904,2209) x common factors =1 x 1 = 1

LCM(904,2209) = ( 904 × 2209 ) / 1

LCM(904,2209) = 1996936 / 1

LCM(904,2209) = 1996936


Lets's calculate GCF of 604,840

2 604, 840
2 302, 420
151, 210

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1996936/4

Therefore the LCM of Fractions 904/604,2209/840 is 499234

Greatest Common Factor of 604,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,840 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 604,840 . The biggest common factor number is the GCF number.
So the greatest common factor 604,840 is 4.


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 904/604, 2209/840

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 904/604, 2209/840?

Answer: LCM of Numerators as per given numbers 904/604, 2209/840 is

LCM of Numerators i.e. for 904,2209 is 1996936

GCF of denominators i.e. for 604,840 is 4.

Thus, LCM of Fractions is 499234.Finally, LCM of Fractions for 904/604, 2209/840 is 499234.