Least Common Multiple of 74/256, 96/367, 415/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/256, 96/367, 415/180 quickly i.e. 1474080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/256, 96/367, 415/180 is 1474080.

LCM(74/256, 96/367, 415/180) = 1474080

LCM of 74/256, 96/367, 415/180

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 74/256,96/367,415/180

Given numbers are 74/256,96/367,415/180

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 74,96,415

Least Common Multiple of Numerators i.e. LCM of 74,96,415 is 1474080.

GCF of Denominators means GCF of 256,367,180 as per the given fractions.

GCF of 256,367,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,96,415

LCM of Fractions 74/256,96/367,415/180 is 1474080

2 74, 96, 415
37, 48, 415

∴ So the LCM of the given numbers is 2 x 37 x 48 x 415 = 1474080

Least Common Multiple of 74,96,415 with GCF Formula

Least Common Multiple of 74,96,415 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 74,96,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,96,415) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,96,415) x common factors =1 x 2 = 2

LCM(74,96,415) = ( 74 × 96 × 415 ) / 2

LCM(74,96,415) = 2948160 / 2

LCM(74,96,415) = 1474080


Lets's calculate GCF of 256,367,180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1474080/1

Therefore the LCM of Fractions 74/256,96/367,415/180 is 1474080

Greatest Common Factor of 256,367,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,367,180 By Matching Biggest Common Factor Method

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

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 256,367,180 . The biggest common factor number is the GCF number.
So the greatest common factor 256,367,180 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 74/256, 96/367, 415/180

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 74/256, 96/367, 415/180?

Answer: LCM of Numerators as per given numbers 74/256, 96/367, 415/180 is

LCM of Numerators i.e. for 74,96,415 is 1474080

GCF of denominators i.e. for 256,367,180 is 1.

Thus, LCM of Fractions is 1474080.Finally, LCM of Fractions for 74/256, 96/367, 415/180 is 1474080.