Least Common Multiple of 23/314, 314/789, 899/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/314, 314/789, 899/406 quickly i.e. 6492578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/314, 314/789, 899/406 is 6492578.

LCM(23/314, 314/789, 899/406) = 6492578

LCM of 23/314, 314/789, 899/406

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 23/314,314/789,899/406

Given numbers are 23/314,314/789,899/406

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 23,314,899

Least Common Multiple of Numerators i.e. LCM of 23,314,899 is 6492578.

GCF of Denominators means GCF of 314,789,406 as per the given fractions.

GCF of 314,789,406 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,314,899

LCM of Fractions 23/314,314/789,899/406 is 6492578

Given numbers has no common factors except 1. So, there LCM is their product i.e 6492578

Least Common Multiple of 23,314,899 with GCF Formula

Least Common Multiple of 23,314,899 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 23,314,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,314,899) = 1

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

GCF(23,314,899) x common factors =1 x 1 = 1

LCM(23,314,899) = ( 23 × 314 × 899 ) / 1

LCM(23,314,899) = 6492578 / 1

LCM(23,314,899) = 6492578


Lets's calculate GCF of 314,789,406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6492578/1

Therefore the LCM of Fractions 23/314,314/789,899/406 is 6492578

Greatest Common Factor of 314,789,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,789,406 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 314,789,406 . The biggest common factor number is the GCF number.
So the greatest common factor 314,789,406 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 23/314, 314/789, 899/406

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 23/314, 314/789, 899/406?

Answer: LCM of Numerators as per given numbers 23/314, 314/789, 899/406 is

LCM of Numerators i.e. for 23,314,899 is 6492578

GCF of denominators i.e. for 314,789,406 is 1.

Thus, LCM of Fractions is 6492578.Finally, LCM of Fractions for 23/314, 314/789, 899/406 is 6492578.