Least Common Multiple of 1289/462, 2309/4351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1289/462, 2309/4351 quickly i.e. 2976301 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1289/462, 2309/4351 is 2976301.

LCM(1289/462, 2309/4351) = 2976301

LCM of 1289/462, 2309/4351

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 1289/462,2309/4351

Given numbers are 1289/462,2309/4351

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 1289,2309

Least Common Multiple of Numerators i.e. LCM of 1289,2309 is 2976301.

GCF of Denominators means GCF of 462,4351 as per the given fractions.

GCF of 462,4351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1289,2309

LCM of Fractions 1289/462,2309/4351 is 2976301

Given numbers has no common factors except 1. So, there LCM is their product i.e 2976301

Least Common Multiple of 1289,2309 with GCF Formula

Least Common Multiple of 1289,2309 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 1289,2309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1289,2309) = 1

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

GCF(1289,2309) x common factors =1 x 1 = 1

LCM(1289,2309) = ( 1289 × 2309 ) / 1

LCM(1289,2309) = 2976301 / 1

LCM(1289,2309) = 2976301


Lets's calculate GCF of 462,4351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2976301/1

Therefore the LCM of Fractions 1289/462,2309/4351 is 2976301

Greatest Common Factor of 462,4351 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,4351 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 4351

List of positive integer factors of 4351 that divides 4351 without a remainder.

1,19,229,4351

Greatest Common Factor

We found the factors 462,4351 . The biggest common factor number is the GCF number.
So the greatest common factor 462,4351 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 1289/462, 2309/4351

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 1289/462, 2309/4351?

Answer: LCM of Numerators as per given numbers 1289/462, 2309/4351 is

LCM of Numerators i.e. for 1289,2309 is 2976301

GCF of denominators i.e. for 462,4351 is 1.

Thus, LCM of Fractions is 2976301.Finally, LCM of Fractions for 1289/462, 2309/4351 is 2976301.