Least Common Multiple of 74/340, 61/734, 593/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/340, 61/734, 593/256 quickly i.e. 1338401 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/340, 61/734, 593/256 is 1338401.

LCM(74/340, 61/734, 593/256) = 1338401

LCM of 74/340, 61/734, 593/256

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 74/340,61/734,593/256

Given numbers are 74/340,61/734,593/256

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 74,61,593

Least Common Multiple of Numerators i.e. LCM of 74,61,593 is 2676802.

GCF of Denominators means GCF of 340,734,256 as per the given fractions.

GCF of 340,734,256 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,61,593

LCM of Fractions 74/340,61/734,593/256 is 1338401

Given numbers has no common factors except 1. So, there LCM is their product i.e 2676802

Least Common Multiple of 74,61,593 with GCF Formula

Least Common Multiple of 74,61,593 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 74,61,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,61,593) = 1

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

GCF(74,61,593) x common factors =1 x 1 = 1

LCM(74,61,593) = ( 74 × 61 × 593 ) / 1

LCM(74,61,593) = 2676802 / 1

LCM(74,61,593) = 2676802


Lets's calculate GCF of 340,734,256

2 340, 734, 256
170, 367, 128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2676802/2

Therefore the LCM of Fractions 74/340,61/734,593/256 is 1338401

Greatest Common Factor of 340,734,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,734,256 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 340,734,256 . The biggest common factor number is the GCF number.
So the greatest common factor 340,734,256 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 74/340, 61/734, 593/256

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 74/340, 61/734, 593/256?

Answer: LCM of Numerators as per given numbers 74/340, 61/734, 593/256 is

LCM of Numerators i.e. for 74,61,593 is 2676802

GCF of denominators i.e. for 340,734,256 is 2.

Thus, LCM of Fractions is 1338401.Finally, LCM of Fractions for 74/340, 61/734, 593/256 is 1338401.