Least Common Multiple of 429/566, 2369/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 429/566, 2369/314 quickly i.e. 1016301/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 429/566, 2369/314 is 1016301/2.

LCM(429/566, 2369/314) = 1016301/2

LCM of 429/566, 2369/314

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 429/566,2369/314

Given numbers are 429/566,2369/314

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 429,2369

Least Common Multiple of Numerators i.e. LCM of 429,2369 is 1016301.

GCF of Denominators means GCF of 566,314 as per the given fractions.

GCF of 566,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 429,2369

LCM of Fractions 429/566,2369/314 is 1016301/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1016301

Least Common Multiple of 429,2369 with GCF Formula

Least Common Multiple of 429,2369 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 429,2369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,2369) = 1

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

GCF(429,2369) x common factors =1 x 1 = 1

LCM(429,2369) = ( 429 × 2369 ) / 1

LCM(429,2369) = 1016301 / 1

LCM(429,2369) = 1016301


Lets's calculate GCF of 566,314

2 566, 314
283, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1016301/2

Therefore the LCM of Fractions 429/566,2369/314 is 1016301/2

Greatest Common Factor of 566,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,314 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 314

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

1,2,157,314

Greatest Common Factor

We found the factors 566,314 . The biggest common factor number is the GCF number.
So the greatest common factor 566,314 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 429/566, 2369/314

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 429/566, 2369/314?

Answer: LCM of Numerators as per given numbers 429/566, 2369/314 is

LCM of Numerators i.e. for 429,2369 is 1016301

GCF of denominators i.e. for 566,314 is 2.

Thus, LCM of Fractions is 1016301/2.Finally, LCM of Fractions for 429/566, 2369/314 is 1016301/2.