Least Common Multiple of 5968/804, 5940/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5968/804, 5940/346 quickly i.e. 4431240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5968/804, 5940/346 is 4431240.

LCM(5968/804, 5940/346) = 4431240

LCM of 5968/804, 5940/346

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 5968/804,5940/346

Given numbers are 5968/804,5940/346

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 5968,5940

Least Common Multiple of Numerators i.e. LCM of 5968,5940 is 8862480.

GCF of Denominators means GCF of 804,346 as per the given fractions.

GCF of 804,346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5968,5940

LCM of Fractions 5968/804,5940/346 is 4431240

2 5968, 5940
2 2984, 2970
1492, 1485

∴ So the LCM of the given numbers is 2 x 2 x 1492 x 1485 = 8862480

Least Common Multiple of 5968,5940 with GCF Formula

Least Common Multiple of 5968,5940 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 5968,5940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5968,5940) = 4

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

GCF(5968,5940) x common factors =4 x 1 = 4

LCM(5968,5940) = ( 5968 × 5940 ) / 4

LCM(5968,5940) = 35449920 / 4

LCM(5968,5940) = 8862480


Lets's calculate GCF of 804,346

2 804, 346
402, 173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8862480/2

Therefore the LCM of Fractions 5968/804,5940/346 is 4431240

Greatest Common Factor of 804,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,346 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 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 804,346 . The biggest common factor number is the GCF number.
So the greatest common factor 804,346 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 5968/804, 5940/346

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 5968/804, 5940/346?

Answer: LCM of Numerators as per given numbers 5968/804, 5940/346 is

LCM of Numerators i.e. for 5968,5940 is 8862480

GCF of denominators i.e. for 804,346 is 2.

Thus, LCM of Fractions is 4431240.Finally, LCM of Fractions for 5968/804, 5940/346 is 4431240.