Least Common Multiple of 1681/714, 5814/3665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1681/714, 5814/3665 quickly i.e. 9773334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1681/714, 5814/3665 is 9773334.

LCM(1681/714, 5814/3665) = 9773334

LCM of 1681/714, 5814/3665

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 1681/714,5814/3665

Given numbers are 1681/714,5814/3665

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 1681,5814

Least Common Multiple of Numerators i.e. LCM of 1681,5814 is 9773334.

GCF of Denominators means GCF of 714,3665 as per the given fractions.

GCF of 714,3665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1681,5814

LCM of Fractions 1681/714,5814/3665 is 9773334

Given numbers has no common factors except 1. So, there LCM is their product i.e 9773334

Least Common Multiple of 1681,5814 with GCF Formula

Least Common Multiple of 1681,5814 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 1681,5814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1681,5814) = 1

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

GCF(1681,5814) x common factors =1 x 1 = 1

LCM(1681,5814) = ( 1681 × 5814 ) / 1

LCM(1681,5814) = 9773334 / 1

LCM(1681,5814) = 9773334


Lets's calculate GCF of 714,3665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9773334/1

Therefore the LCM of Fractions 1681/714,5814/3665 is 9773334

Greatest Common Factor of 714,3665 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,3665 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 3665

List of positive integer factors of 3665 that divides 3665 without a remainder.

1,5,733,3665

Greatest Common Factor

We found the factors 714,3665 . The biggest common factor number is the GCF number.
So the greatest common factor 714,3665 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 1681/714, 5814/3665

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 1681/714, 5814/3665?

Answer: LCM of Numerators as per given numbers 1681/714, 5814/3665 is

LCM of Numerators i.e. for 1681,5814 is 9773334

GCF of denominators i.e. for 714,3665 is 1.

Thus, LCM of Fractions is 9773334.Finally, LCM of Fractions for 1681/714, 5814/3665 is 9773334.