Least Common Multiple of 7804/804, 1797/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7804/804, 1797/224 quickly i.e. 3505947 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7804/804, 1797/224 is 3505947.

LCM(7804/804, 1797/224) = 3505947

LCM of 7804/804, 1797/224

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 7804/804,1797/224

Given numbers are 7804/804,1797/224

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 7804,1797

Least Common Multiple of Numerators i.e. LCM of 7804,1797 is 14023788.

GCF of Denominators means GCF of 804,224 as per the given fractions.

GCF of 804,224 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7804,1797

LCM of Fractions 7804/804,1797/224 is 3505947

Given numbers has no common factors except 1. So, there LCM is their product i.e 14023788

Least Common Multiple of 7804,1797 with GCF Formula

Least Common Multiple of 7804,1797 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 7804,1797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7804,1797) = 1

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

GCF(7804,1797) x common factors =1 x 1 = 1

LCM(7804,1797) = ( 7804 × 1797 ) / 1

LCM(7804,1797) = 14023788 / 1

LCM(7804,1797) = 14023788


Lets's calculate GCF of 804,224

2 804, 224
2 402, 112
201, 56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14023788/4

Therefore the LCM of Fractions 7804/804,1797/224 is 3505947

Greatest Common Factor of 804,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,224 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 804,224 . The biggest common factor number is the GCF number.
So the greatest common factor 804,224 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 7804/804, 1797/224

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 7804/804, 1797/224?

Answer: LCM of Numerators as per given numbers 7804/804, 1797/224 is

LCM of Numerators i.e. for 7804,1797 is 14023788

GCF of denominators i.e. for 804,224 is 4.

Thus, LCM of Fractions is 3505947.Finally, LCM of Fractions for 7804/804, 1797/224 is 3505947.