Least Common Multiple of 685/17, 405/8076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 685/17, 405/8076 quickly i.e. 55485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 685/17, 405/8076 is 55485.

LCM(685/17, 405/8076) = 55485

LCM of 685/17, 405/8076

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 685/17,405/8076

Given numbers are 685/17,405/8076

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 685,405

Least Common Multiple of Numerators i.e. LCM of 685,405 is 55485.

GCF of Denominators means GCF of 17,8076 as per the given fractions.

GCF of 17,8076 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 685,405

LCM of Fractions 685/17,405/8076 is 55485

5 685, 405
137, 81

∴ So the LCM of the given numbers is 5 x 137 x 81 = 55485

Least Common Multiple of 685,405 with GCF Formula

Least Common Multiple of 685,405 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 685,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,405) = 5

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

GCF(685,405) x common factors =5 x 1 = 5

LCM(685,405) = ( 685 × 405 ) / 5

LCM(685,405) = 277425 / 5

LCM(685,405) = 55485


Lets's calculate GCF of 17,8076

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55485/1

Therefore the LCM of Fractions 685/17,405/8076 is 55485

Greatest Common Factor of 17,8076 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,8076 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 8076

List of positive integer factors of 8076 that divides 8076 without a remainder.

1,2,3,4,6,12,673,1346,2019,2692,4038,8076

Greatest Common Factor

We found the factors 17,8076 . The biggest common factor number is the GCF number.
So the greatest common factor 17,8076 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 685/17, 405/8076

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 685/17, 405/8076?

Answer: LCM of Numerators as per given numbers 685/17, 405/8076 is

LCM of Numerators i.e. for 685,405 is 55485

GCF of denominators i.e. for 17,8076 is 1.

Thus, LCM of Fractions is 55485.Finally, LCM of Fractions for 685/17, 405/8076 is 55485.