Least Common Multiple of 1425/309, 1039/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1425/309, 1039/284 quickly i.e. 1480575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1425/309, 1039/284 is 1480575.

LCM(1425/309, 1039/284) = 1480575

LCM of 1425/309, 1039/284

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 1425/309,1039/284

Given numbers are 1425/309,1039/284

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 1425,1039

Least Common Multiple of Numerators i.e. LCM of 1425,1039 is 1480575.

GCF of Denominators means GCF of 309,284 as per the given fractions.

GCF of 309,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1425,1039

LCM of Fractions 1425/309,1039/284 is 1480575

Given numbers has no common factors except 1. So, there LCM is their product i.e 1480575

Least Common Multiple of 1425,1039 with GCF Formula

Least Common Multiple of 1425,1039 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 1425,1039 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1425,1039) = 1

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

GCF(1425,1039) x common factors =1 x 1 = 1

LCM(1425,1039) = ( 1425 × 1039 ) / 1

LCM(1425,1039) = 1480575 / 1

LCM(1425,1039) = 1480575


Lets's calculate GCF of 309,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1480575/1

Therefore the LCM of Fractions 1425/309,1039/284 is 1480575

Greatest Common Factor of 309,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,284 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 309,284 . The biggest common factor number is the GCF number.
So the greatest common factor 309,284 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 1425/309, 1039/284

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 1425/309, 1039/284?

Answer: LCM of Numerators as per given numbers 1425/309, 1039/284 is

LCM of Numerators i.e. for 1425,1039 is 1480575

GCF of denominators i.e. for 309,284 is 1.

Thus, LCM of Fractions is 1480575.Finally, LCM of Fractions for 1425/309, 1039/284 is 1480575.