Least Common Multiple of 3471/689, 4663/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3471/689, 4663/816 quickly i.e. 16185273 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3471/689, 4663/816 is 16185273.

LCM(3471/689, 4663/816) = 16185273

LCM of 3471/689, 4663/816

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 3471/689,4663/816

Given numbers are 3471/689,4663/816

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 3471,4663

Least Common Multiple of Numerators i.e. LCM of 3471,4663 is 16185273.

GCF of Denominators means GCF of 689,816 as per the given fractions.

GCF of 689,816 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3471,4663

LCM of Fractions 3471/689,4663/816 is 16185273

Given numbers has no common factors except 1. So, there LCM is their product i.e 16185273

Least Common Multiple of 3471,4663 with GCF Formula

Least Common Multiple of 3471,4663 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 3471,4663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3471,4663) = 1

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

GCF(3471,4663) x common factors =1 x 1 = 1

LCM(3471,4663) = ( 3471 × 4663 ) / 1

LCM(3471,4663) = 16185273 / 1

LCM(3471,4663) = 16185273


Lets's calculate GCF of 689,816

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16185273/1

Therefore the LCM of Fractions 3471/689,4663/816 is 16185273

Greatest Common Factor of 689,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,816 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 689,816 . The biggest common factor number is the GCF number.
So the greatest common factor 689,816 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 3471/689, 4663/816

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 3471/689, 4663/816?

Answer: LCM of Numerators as per given numbers 3471/689, 4663/816 is

LCM of Numerators i.e. for 3471,4663 is 16185273

GCF of denominators i.e. for 689,816 is 1.

Thus, LCM of Fractions is 16185273.Finally, LCM of Fractions for 3471/689, 4663/816 is 16185273.