Least Common Multiple of 74/256, 5888/1131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/256, 5888/1131 quickly i.e. 217856 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, 5888/1131 is 217856.

LCM(74/256, 5888/1131) = 217856

LCM of 74/256, 5888/1131

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 74/256,5888/1131

Given numbers are 74/256,5888/1131

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 74,5888

Least Common Multiple of Numerators i.e. LCM of 74,5888 is 217856.

GCF of Denominators means GCF of 256,1131 as per the given fractions.

GCF of 256,1131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,5888

LCM of Fractions 74/256,5888/1131 is 217856

2 74, 5888
37, 2944

∴ So the LCM of the given numbers is 2 x 37 x 2944 = 217856

Least Common Multiple of 74,5888 with GCF Formula

Least Common Multiple of 74,5888 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 74,5888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,5888) = 2

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

GCF(74,5888) x common factors =2 x 1 = 2

LCM(74,5888) = ( 74 × 5888 ) / 2

LCM(74,5888) = 435712 / 2

LCM(74,5888) = 217856


Lets's calculate GCF of 256,1131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217856/1

Therefore the LCM of Fractions 74/256,5888/1131 is 217856

Greatest Common Factor of 256,1131 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,1131 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 1131

List of positive integer factors of 1131 that divides 1131 without a remainder.

1,3,13,29,39,87,377,1131

Greatest Common Factor

We found the factors 256,1131 . The biggest common factor number is the GCF number.
So the greatest common factor 256,1131 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, 5888/1131

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, 5888/1131?

Answer: LCM of Numerators as per given numbers 74/256, 5888/1131 is

LCM of Numerators i.e. for 74,5888 is 217856

GCF of denominators i.e. for 256,1131 is 1.

Thus, LCM of Fractions is 217856.Finally, LCM of Fractions for 74/256, 5888/1131 is 217856.