Least Common Multiple of 43/256, 49/886, 385/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/256, 49/886, 385/460 quickly i.e. 115885/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/256, 49/886, 385/460 is 115885/2.

LCM(43/256, 49/886, 385/460) = 115885/2

LCM of 43/256, 49/886, 385/460

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 43/256,49/886,385/460

Given numbers are 43/256,49/886,385/460

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 43,49,385

Least Common Multiple of Numerators i.e. LCM of 43,49,385 is 115885.

GCF of Denominators means GCF of 256,886,460 as per the given fractions.

GCF of 256,886,460 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,49,385

LCM of Fractions 43/256,49/886,385/460 is 115885/2

7 43, 49, 385
43, 7, 55

∴ So the LCM of the given numbers is 7 x 43 x 7 x 55 = 115885

Least Common Multiple of 43,49,385 with GCF Formula

Least Common Multiple of 43,49,385 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 43,49,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,49,385) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(43,49,385) x common factors =1 x 7 = 7

LCM(43,49,385) = ( 43 × 49 × 385 ) / 7

LCM(43,49,385) = 811195 / 7

LCM(43,49,385) = 115885


Lets's calculate GCF of 256,886,460

2 256, 886, 460
128, 443, 230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115885/2

Therefore the LCM of Fractions 43/256,49/886,385/460 is 115885/2

Greatest Common Factor of 256,886,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,886,460 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 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 256,886,460 . The biggest common factor number is the GCF number.
So the greatest common factor 256,886,460 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 43/256, 49/886, 385/460

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 43/256, 49/886, 385/460?

Answer: LCM of Numerators as per given numbers 43/256, 49/886, 385/460 is

LCM of Numerators i.e. for 43,49,385 is 115885

GCF of denominators i.e. for 256,886,460 is 2.

Thus, LCM of Fractions is 115885/2.Finally, LCM of Fractions for 43/256, 49/886, 385/460 is 115885/2.