Least Common Multiple of 17/85, 63/64, 14/24, 428/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/85, 63/64, 14/24, 428/33 quickly i.e. 458388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/85, 63/64, 14/24, 428/33 is 458388.

LCM(17/85, 63/64, 14/24, 428/33) = 458388

LCM of 17/85, 63/64, 14/24, 428/33

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 17/85,63/64,14/24,428/33

Given numbers are 17/85,63/64,14/24,428/33

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 17,63,14,428

Least Common Multiple of Numerators i.e. LCM of 17,63,14,428 is 458388.

GCF of Denominators means GCF of 85,64,24,33 as per the given fractions.

GCF of 85,64,24,33 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,63,14,428

LCM of Fractions 17/85,63/64,14/24,428/33 is 458388

2 17, 63, 14, 428
7 17, 63, 7, 214
17, 9, 1, 214

∴ So the LCM of the given numbers is 2 x 7 x 17 x 9 x 1 x 214 = 458388

Least Common Multiple of 17,63,14,428 with GCF Formula

Least Common Multiple of 17,63,14,428 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 17,63,14,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,63,14,428) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(17,63,14,428) x common factors =1 x 14 = 14

LCM(17,63,14,428) = ( 17 × 63 × 14 × 428 ) / 14

LCM(17,63,14,428) = 6417432 / 14

LCM(17,63,14,428) = 458388


Lets's calculate GCF of 85,64,24,33

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 458388/1

Therefore the LCM of Fractions 17/85,63/64,14/24,428/33 is 458388

Greatest Common Factor of 85,64,24,33 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,64,24,33 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

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

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Greatest Common Factor

We found the factors 85,64,24,33 . The biggest common factor number is the GCF number.
So the greatest common factor 85,64,24,33 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 17/85, 63/64, 14/24, 428/33

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 17/85, 63/64, 14/24, 428/33?

Answer: LCM of Numerators as per given numbers 17/85, 63/64, 14/24, 428/33 is

LCM of Numerators i.e. for 17,63,14,428 is 458388

GCF of denominators i.e. for 85,64,24,33 is 1.

Thus, LCM of Fractions is 458388.Finally, LCM of Fractions for 17/85, 63/64, 14/24, 428/33 is 458388.