Least Common Multiple of 412/62, 824/7409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/62, 824/7409 quickly i.e. 824/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/62, 824/7409 is 824/31.

LCM(412/62, 824/7409) = 824/31

LCM of 412/62, 824/7409

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 412/62,824/7409

Given numbers are 412/62,824/7409

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 412,824

Least Common Multiple of Numerators i.e. LCM of 412,824 is 824.

GCF of Denominators means GCF of 62,7409 as per the given fractions.

GCF of 62,7409 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,824

LCM of Fractions 412/62,824/7409 is 824/31

2 412, 824
2 206, 412
103 103, 206
1, 2

∴ So the LCM of the given numbers is 2 x 2 x 103 x 1 x 2 = 824

Least Common Multiple of 412,824 with GCF Formula

Least Common Multiple of 412,824 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 412,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,824) = 412

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

GCF(412,824) x common factors =412 x 1 = 412

LCM(412,824) = ( 412 × 824 ) / 412

LCM(412,824) = 339488 / 412

LCM(412,824) = 824


Lets's calculate GCF of 62,7409

31 62, 7409
2, 239

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 824/31

Therefore the LCM of Fractions 412/62,824/7409 is 824/31

Greatest Common Factor of 62,7409 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,7409 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 7409

List of positive integer factors of 7409 that divides 7409 without a remainder.

1,31,239,7409

Greatest Common Factor

We found the factors 62,7409 . The biggest common factor number is the GCF number.
So the greatest common factor 62,7409 is 31.


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 412/62, 824/7409

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 412/62, 824/7409?

Answer: LCM of Numerators as per given numbers 412/62, 824/7409 is

LCM of Numerators i.e. for 412,824 is 824

GCF of denominators i.e. for 62,7409 is 31.

Thus, LCM of Fractions is 824/31.Finally, LCM of Fractions for 412/62, 824/7409 is 824/31.