Least Common Multiple of 405/85, 271/7635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 405/85, 271/7635 quickly i.e. 21951 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 405/85, 271/7635 is 21951.

LCM(405/85, 271/7635) = 21951

LCM of 405/85, 271/7635

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 405/85,271/7635

Given numbers are 405/85,271/7635

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 405,271

Least Common Multiple of Numerators i.e. LCM of 405,271 is 109755.

GCF of Denominators means GCF of 85,7635 as per the given fractions.

GCF of 85,7635 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 405,271

LCM of Fractions 405/85,271/7635 is 21951

Given numbers has no common factors except 1. So, there LCM is their product i.e 109755

Least Common Multiple of 405,271 with GCF Formula

Least Common Multiple of 405,271 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 405,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,271) = 1

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

GCF(405,271) x common factors =1 x 1 = 1

LCM(405,271) = ( 405 × 271 ) / 1

LCM(405,271) = 109755 / 1

LCM(405,271) = 109755


Lets's calculate GCF of 85,7635

5 85, 7635
17, 1527

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109755/5

Therefore the LCM of Fractions 405/85,271/7635 is 21951

Greatest Common Factor of 85,7635 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,7635 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 7635

List of positive integer factors of 7635 that divides 7635 without a remainder.

1,3,5,15,509,1527,2545,7635

Greatest Common Factor

We found the factors 85,7635 . The biggest common factor number is the GCF number.
So the greatest common factor 85,7635 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 405/85, 271/7635

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 405/85, 271/7635?

Answer: LCM of Numerators as per given numbers 405/85, 271/7635 is

LCM of Numerators i.e. for 405,271 is 109755

GCF of denominators i.e. for 85,7635 is 5.

Thus, LCM of Fractions is 21951.Finally, LCM of Fractions for 405/85, 271/7635 is 21951.