Least Common Multiple of 431/45, 871/8805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 431/45, 871/8805 quickly i.e. 375401/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 431/45, 871/8805 is 375401/15.

LCM(431/45, 871/8805) = 375401/15

LCM of 431/45, 871/8805

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 431/45,871/8805

Given numbers are 431/45,871/8805

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 431,871

Least Common Multiple of Numerators i.e. LCM of 431,871 is 375401.

GCF of Denominators means GCF of 45,8805 as per the given fractions.

GCF of 45,8805 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 431,871

LCM of Fractions 431/45,871/8805 is 375401/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 375401

Least Common Multiple of 431,871 with GCF Formula

Least Common Multiple of 431,871 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 431,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,871) = 1

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

GCF(431,871) x common factors =1 x 1 = 1

LCM(431,871) = ( 431 × 871 ) / 1

LCM(431,871) = 375401 / 1

LCM(431,871) = 375401


Lets's calculate GCF of 45,8805

3 45, 8805
5 15, 2935
3, 587

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 375401/15

Therefore the LCM of Fractions 431/45,871/8805 is 375401/15

Greatest Common Factor of 45,8805 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,8805 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 8805

List of positive integer factors of 8805 that divides 8805 without a remainder.

1,3,5,15,587,1761,2935,8805

Greatest Common Factor

We found the factors 45,8805 . The biggest common factor number is the GCF number.
So the greatest common factor 45,8805 is 15.


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 431/45, 871/8805

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 431/45, 871/8805?

Answer: LCM of Numerators as per given numbers 431/45, 871/8805 is

LCM of Numerators i.e. for 431,871 is 375401

GCF of denominators i.e. for 45,8805 is 15.

Thus, LCM of Fractions is 375401/15.Finally, LCM of Fractions for 431/45, 871/8805 is 375401/15.