Least Common Multiple of 5934/42, 6338/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5934/42, 6338/960 quickly i.e. 3134141 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5934/42, 6338/960 is 3134141.

LCM(5934/42, 6338/960) = 3134141

LCM of 5934/42, 6338/960

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 5934/42,6338/960

Given numbers are 5934/42,6338/960

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 5934,6338

Least Common Multiple of Numerators i.e. LCM of 5934,6338 is 18804846.

GCF of Denominators means GCF of 42,960 as per the given fractions.

GCF of 42,960 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5934,6338

LCM of Fractions 5934/42,6338/960 is 3134141

2 5934, 6338
2967, 3169

∴ So the LCM of the given numbers is 2 x 2967 x 3169 = 18804846

Least Common Multiple of 5934,6338 with GCF Formula

Least Common Multiple of 5934,6338 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 5934,6338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5934,6338) = 2

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

GCF(5934,6338) x common factors =2 x 1 = 2

LCM(5934,6338) = ( 5934 × 6338 ) / 2

LCM(5934,6338) = 37609692 / 2

LCM(5934,6338) = 18804846


Lets's calculate GCF of 42,960

2 42, 960
3 21, 480
7, 160

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18804846/6

Therefore the LCM of Fractions 5934/42,6338/960 is 3134141

Greatest Common Factor of 42,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,960 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 42,960 . The biggest common factor number is the GCF number.
So the greatest common factor 42,960 is 6.


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 5934/42, 6338/960

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 5934/42, 6338/960?

Answer: LCM of Numerators as per given numbers 5934/42, 6338/960 is

LCM of Numerators i.e. for 5934,6338 is 18804846

GCF of denominators i.e. for 42,960 is 6.

Thus, LCM of Fractions is 3134141.Finally, LCM of Fractions for 5934/42, 6338/960 is 3134141.