Least Common Multiple of 871/34, 531/1576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 871/34, 531/1576 quickly i.e. 462501/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 871/34, 531/1576 is 462501/2.

LCM(871/34, 531/1576) = 462501/2

LCM of 871/34, 531/1576

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 871/34,531/1576

Given numbers are 871/34,531/1576

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 871,531

Least Common Multiple of Numerators i.e. LCM of 871,531 is 462501.

GCF of Denominators means GCF of 34,1576 as per the given fractions.

GCF of 34,1576 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,531

LCM of Fractions 871/34,531/1576 is 462501/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 462501

Least Common Multiple of 871,531 with GCF Formula

Least Common Multiple of 871,531 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 871,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,531) = 1

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

GCF(871,531) x common factors =1 x 1 = 1

LCM(871,531) = ( 871 × 531 ) / 1

LCM(871,531) = 462501 / 1

LCM(871,531) = 462501


Lets's calculate GCF of 34,1576

2 34, 1576
17, 788

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 462501/2

Therefore the LCM of Fractions 871/34,531/1576 is 462501/2

Greatest Common Factor of 34,1576 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,1576 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 1576

List of positive integer factors of 1576 that divides 1576 without a remainder.

1,2,4,8,197,394,788,1576

Greatest Common Factor

We found the factors 34,1576 . The biggest common factor number is the GCF number.
So the greatest common factor 34,1576 is 2.


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 871/34, 531/1576

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 871/34, 531/1576?

Answer: LCM of Numerators as per given numbers 871/34, 531/1576 is

LCM of Numerators i.e. for 871,531 is 462501

GCF of denominators i.e. for 34,1576 is 2.

Thus, LCM of Fractions is 462501/2.Finally, LCM of Fractions for 871/34, 531/1576 is 462501/2.