Least Common Multiple of 302/62, 428/2830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 302/62, 428/2830 quickly i.e. 32314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 302/62, 428/2830 is 32314.

LCM(302/62, 428/2830) = 32314

LCM of 302/62, 428/2830

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 302/62,428/2830

Given numbers are 302/62,428/2830

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 302,428

Least Common Multiple of Numerators i.e. LCM of 302,428 is 64628.

GCF of Denominators means GCF of 62,2830 as per the given fractions.

GCF of 62,2830 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 302,428

LCM of Fractions 302/62,428/2830 is 32314

2 302, 428
151, 214

∴ So the LCM of the given numbers is 2 x 151 x 214 = 64628

Least Common Multiple of 302,428 with GCF Formula

Least Common Multiple of 302,428 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 302,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,428) = 2

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

GCF(302,428) x common factors =2 x 1 = 2

LCM(302,428) = ( 302 × 428 ) / 2

LCM(302,428) = 129256 / 2

LCM(302,428) = 64628


Lets's calculate GCF of 62,2830

2 62, 2830
31, 1415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64628/2

Therefore the LCM of Fractions 302/62,428/2830 is 32314

Greatest Common Factor of 62,2830 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,2830 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 2830

List of positive integer factors of 2830 that divides 2830 without a remainder.

1,2,5,10,283,566,1415,2830

Greatest Common Factor

We found the factors 62,2830 . The biggest common factor number is the GCF number.
So the greatest common factor 62,2830 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 302/62, 428/2830

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 302/62, 428/2830?

Answer: LCM of Numerators as per given numbers 302/62, 428/2830 is

LCM of Numerators i.e. for 302,428 is 64628

GCF of denominators i.e. for 62,2830 is 2.

Thus, LCM of Fractions is 32314.Finally, LCM of Fractions for 302/62, 428/2830 is 32314.