Least Common Multiple of 74/293, 6000/5935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/293, 6000/5935 quickly i.e. 222000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/293, 6000/5935 is 222000.

LCM(74/293, 6000/5935) = 222000

LCM of 74/293, 6000/5935

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 74/293,6000/5935

Given numbers are 74/293,6000/5935

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 74,6000

Least Common Multiple of Numerators i.e. LCM of 74,6000 is 222000.

GCF of Denominators means GCF of 293,5935 as per the given fractions.

GCF of 293,5935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,6000

LCM of Fractions 74/293,6000/5935 is 222000

2 74, 6000
37, 3000

∴ So the LCM of the given numbers is 2 x 37 x 3000 = 222000

Least Common Multiple of 74,6000 with GCF Formula

Least Common Multiple of 74,6000 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 74,6000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,6000) = 2

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

GCF(74,6000) x common factors =2 x 1 = 2

LCM(74,6000) = ( 74 × 6000 ) / 2

LCM(74,6000) = 444000 / 2

LCM(74,6000) = 222000


Lets's calculate GCF of 293,5935

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 222000/1

Therefore the LCM of Fractions 74/293,6000/5935 is 222000

Greatest Common Factor of 293,5935 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,5935 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 5935

List of positive integer factors of 5935 that divides 5935 without a remainder.

1,5,1187,5935

Greatest Common Factor

We found the factors 293,5935 . The biggest common factor number is the GCF number.
So the greatest common factor 293,5935 is 1.


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 74/293, 6000/5935

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 74/293, 6000/5935?

Answer: LCM of Numerators as per given numbers 74/293, 6000/5935 is

LCM of Numerators i.e. for 74,6000 is 222000

GCF of denominators i.e. for 293,5935 is 1.

Thus, LCM of Fractions is 222000.Finally, LCM of Fractions for 74/293, 6000/5935 is 222000.