Least Common Multiple of 17/689, 15/857, 485/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/689, 15/857, 485/357 quickly i.e. 24735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/689, 15/857, 485/357 is 24735.

LCM(17/689, 15/857, 485/357) = 24735

LCM of 17/689, 15/857, 485/357

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 17/689,15/857,485/357

Given numbers are 17/689,15/857,485/357

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 17,15,485

Least Common Multiple of Numerators i.e. LCM of 17,15,485 is 24735.

GCF of Denominators means GCF of 689,857,357 as per the given fractions.

GCF of 689,857,357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,15,485

LCM of Fractions 17/689,15/857,485/357 is 24735

5 17, 15, 485
17, 3, 97

∴ So the LCM of the given numbers is 5 x 17 x 3 x 97 = 24735

Least Common Multiple of 17,15,485 with GCF Formula

Least Common Multiple of 17,15,485 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 17,15,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,15,485) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(17,15,485) x common factors =1 x 5 = 5

LCM(17,15,485) = ( 17 × 15 × 485 ) / 5

LCM(17,15,485) = 123675 / 5

LCM(17,15,485) = 24735


Lets's calculate GCF of 689,857,357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24735/1

Therefore the LCM of Fractions 17/689,15/857,485/357 is 24735

Greatest Common Factor of 689,857,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,857,357 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 689,857,357 . The biggest common factor number is the GCF number.
So the greatest common factor 689,857,357 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 17/689, 15/857, 485/357

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 17/689, 15/857, 485/357?

Answer: LCM of Numerators as per given numbers 17/689, 15/857, 485/357 is

LCM of Numerators i.e. for 17,15,485 is 24735

GCF of denominators i.e. for 689,857,357 is 1.

Thus, LCM of Fractions is 24735.Finally, LCM of Fractions for 17/689, 15/857, 485/357 is 24735.