Least Common Multiple of 85/405, 16/412, 842/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/405, 16/412, 842/705 quickly i.e. 572560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/405, 16/412, 842/705 is 572560.

LCM(85/405, 16/412, 842/705) = 572560

LCM of 85/405, 16/412, 842/705

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 85/405,16/412,842/705

Given numbers are 85/405,16/412,842/705

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 85,16,842

Least Common Multiple of Numerators i.e. LCM of 85,16,842 is 572560.

GCF of Denominators means GCF of 405,412,705 as per the given fractions.

GCF of 405,412,705 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,16,842

LCM of Fractions 85/405,16/412,842/705 is 572560

2 85, 16, 842
85, 8, 421

∴ So the LCM of the given numbers is 2 x 85 x 8 x 421 = 572560

Least Common Multiple of 85,16,842 with GCF Formula

Least Common Multiple of 85,16,842 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 85,16,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,16,842) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(85,16,842) x common factors =1 x 2 = 2

LCM(85,16,842) = ( 85 × 16 × 842 ) / 2

LCM(85,16,842) = 1145120 / 2

LCM(85,16,842) = 572560


Lets's calculate GCF of 405,412,705

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 572560/1

Therefore the LCM of Fractions 85/405,16/412,842/705 is 572560

Greatest Common Factor of 405,412,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,412,705 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 405,412,705 . The biggest common factor number is the GCF number.
So the greatest common factor 405,412,705 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 85/405, 16/412, 842/705

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 85/405, 16/412, 842/705?

Answer: LCM of Numerators as per given numbers 85/405, 16/412, 842/705 is

LCM of Numerators i.e. for 85,16,842 is 572560

GCF of denominators i.e. for 405,412,705 is 1.

Thus, LCM of Fractions is 572560.Finally, LCM of Fractions for 85/405, 16/412, 842/705 is 572560.