Least Common Multiple of 513/71, 871/1896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 513/71, 871/1896 quickly i.e. 446823 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/71, 871/1896 is 446823.

LCM(513/71, 871/1896) = 446823

LCM of 513/71, 871/1896

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 513/71,871/1896

Given numbers are 513/71,871/1896

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 513,871

Least Common Multiple of Numerators i.e. LCM of 513,871 is 446823.

GCF of Denominators means GCF of 71,1896 as per the given fractions.

GCF of 71,1896 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,871

LCM of Fractions 513/71,871/1896 is 446823

Given numbers has no common factors except 1. So, there LCM is their product i.e 446823

Least Common Multiple of 513,871 with GCF Formula

Least Common Multiple of 513,871 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 513,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,871) = 1

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

GCF(513,871) x common factors =1 x 1 = 1

LCM(513,871) = ( 513 × 871 ) / 1

LCM(513,871) = 446823 / 1

LCM(513,871) = 446823


Lets's calculate GCF of 71,1896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 446823/1

Therefore the LCM of Fractions 513/71,871/1896 is 446823

Greatest Common Factor of 71,1896 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,1896 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 1896

List of positive integer factors of 1896 that divides 1896 without a remainder.

1,2,3,4,6,8,12,24,79,158,237,316,474,632,948,1896

Greatest Common Factor

We found the factors 71,1896 . The biggest common factor number is the GCF number.
So the greatest common factor 71,1896 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 513/71, 871/1896

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 513/71, 871/1896?

Answer: LCM of Numerators as per given numbers 513/71, 871/1896 is

LCM of Numerators i.e. for 513,871 is 446823

GCF of denominators i.e. for 71,1896 is 1.

Thus, LCM of Fractions is 446823.Finally, LCM of Fractions for 513/71, 871/1896 is 446823.