Least Common Multiple of 85/40, 17/14, 256/32

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/40, 17/14, 256/32 quickly i.e. 10880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/40, 17/14, 256/32 is 10880.

LCM(85/40, 17/14, 256/32) = 10880

LCM of 85/40, 17/14, 256/32

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 85/40,17/14,256/32

Given numbers are 85/40,17/14,256/32

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 85,17,256

Least Common Multiple of Numerators i.e. LCM of 85,17,256 is 21760.

GCF of Denominators means GCF of 40,14,32 as per the given fractions.

GCF of 40,14,32 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,17,256

LCM of Fractions 85/40,17/14,256/32 is 10880

17 85, 17, 256
5, 1, 256

∴ So the LCM of the given numbers is 17 x 5 x 1 x 256 = 21760

Least Common Multiple of 85,17,256 with GCF Formula

Least Common Multiple of 85,17,256 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 85,17,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,17,256) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(85,17,256) x common factors =1 x 17 = 17

LCM(85,17,256) = ( 85 × 17 × 256 ) / 17

LCM(85,17,256) = 369920 / 17

LCM(85,17,256) = 21760


Lets's calculate GCF of 40,14,32

2 40, 14, 32
20, 7, 16

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21760/2

Therefore the LCM of Fractions 85/40,17/14,256/32 is 10880

Greatest Common Factor of 40,14,32 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,14,32 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Greatest Common Factor

We found the factors 40,14,32 . The biggest common factor number is the GCF number.
So the greatest common factor 40,14,32 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 85/40, 17/14, 256/32

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 85/40, 17/14, 256/32?

Answer: LCM of Numerators as per given numbers 85/40, 17/14, 256/32 is

LCM of Numerators i.e. for 85,17,256 is 21760

GCF of denominators i.e. for 40,14,32 is 2.

Thus, LCM of Fractions is 10880.Finally, LCM of Fractions for 85/40, 17/14, 256/32 is 10880.