Least Common Multiple of 408/85, 395/1755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 408/85, 395/1755 quickly i.e. 32232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/85, 395/1755 is 32232.

LCM(408/85, 395/1755) = 32232

LCM of 408/85, 395/1755

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 408/85,395/1755

Given numbers are 408/85,395/1755

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 408,395

Least Common Multiple of Numerators i.e. LCM of 408,395 is 161160.

GCF of Denominators means GCF of 85,1755 as per the given fractions.

GCF of 85,1755 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,395

LCM of Fractions 408/85,395/1755 is 32232

Given numbers has no common factors except 1. So, there LCM is their product i.e 161160

Least Common Multiple of 408,395 with GCF Formula

Least Common Multiple of 408,395 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 408,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,395) = 1

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

GCF(408,395) x common factors =1 x 1 = 1

LCM(408,395) = ( 408 × 395 ) / 1

LCM(408,395) = 161160 / 1

LCM(408,395) = 161160


Lets's calculate GCF of 85,1755

5 85, 1755
17, 351

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161160/5

Therefore the LCM of Fractions 408/85,395/1755 is 32232

Greatest Common Factor of 85,1755 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,1755 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 1755

List of positive integer factors of 1755 that divides 1755 without a remainder.

1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755

Greatest Common Factor

We found the factors 85,1755 . The biggest common factor number is the GCF number.
So the greatest common factor 85,1755 is 5.


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 408/85, 395/1755

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 408/85, 395/1755?

Answer: LCM of Numerators as per given numbers 408/85, 395/1755 is

LCM of Numerators i.e. for 408,395 is 161160

GCF of denominators i.e. for 85,1755 is 5.

Thus, LCM of Fractions is 32232.Finally, LCM of Fractions for 408/85, 395/1755 is 32232.