Least Common Multiple of 7388/804, 8688/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7388/804, 8688/374 quickly i.e. 8023368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7388/804, 8688/374 is 8023368.

LCM(7388/804, 8688/374) = 8023368

LCM of 7388/804, 8688/374

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 7388/804,8688/374

Given numbers are 7388/804,8688/374

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 7388,8688

Least Common Multiple of Numerators i.e. LCM of 7388,8688 is 16046736.

GCF of Denominators means GCF of 804,374 as per the given fractions.

GCF of 804,374 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7388,8688

LCM of Fractions 7388/804,8688/374 is 8023368

2 7388, 8688
2 3694, 4344
1847, 2172

∴ So the LCM of the given numbers is 2 x 2 x 1847 x 2172 = 16046736

Least Common Multiple of 7388,8688 with GCF Formula

Least Common Multiple of 7388,8688 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 7388,8688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7388,8688) = 4

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

GCF(7388,8688) x common factors =4 x 1 = 4

LCM(7388,8688) = ( 7388 × 8688 ) / 4

LCM(7388,8688) = 64186944 / 4

LCM(7388,8688) = 16046736


Lets's calculate GCF of 804,374

2 804, 374
402, 187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16046736/2

Therefore the LCM of Fractions 7388/804,8688/374 is 8023368

Greatest Common Factor of 804,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,374 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 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 804,374 . The biggest common factor number is the GCF number.
So the greatest common factor 804,374 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 7388/804, 8688/374

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 7388/804, 8688/374?

Answer: LCM of Numerators as per given numbers 7388/804, 8688/374 is

LCM of Numerators i.e. for 7388,8688 is 16046736

GCF of denominators i.e. for 804,374 is 2.

Thus, LCM of Fractions is 8023368.Finally, LCM of Fractions for 7388/804, 8688/374 is 8023368.