Least Common Multiple of 742/679, 824/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 742/679, 824/842 quickly i.e. 305704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 742/679, 824/842 is 305704.

LCM(742/679, 824/842) = 305704

LCM of 742/679, 824/842

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 742/679,824/842

Given numbers are 742/679,824/842

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 742,824

Least Common Multiple of Numerators i.e. LCM of 742,824 is 305704.

GCF of Denominators means GCF of 679,842 as per the given fractions.

GCF of 679,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 742,824

LCM of Fractions 742/679,824/842 is 305704

2 742, 824
371, 412

∴ So the LCM of the given numbers is 2 x 371 x 412 = 305704

Least Common Multiple of 742,824 with GCF Formula

Least Common Multiple of 742,824 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 742,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,824) = 2

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

GCF(742,824) x common factors =2 x 1 = 2

LCM(742,824) = ( 742 × 824 ) / 2

LCM(742,824) = 611408 / 2

LCM(742,824) = 305704


Lets's calculate GCF of 679,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305704/1

Therefore the LCM of Fractions 742/679,824/842 is 305704

Greatest Common Factor of 679,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,842 By Matching Biggest Common Factor Method

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 679,842 . The biggest common factor number is the GCF number.
So the greatest common factor 679,842 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 742/679, 824/842

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 742/679, 824/842?

Answer: LCM of Numerators as per given numbers 742/679, 824/842 is

LCM of Numerators i.e. for 742,824 is 305704

GCF of denominators i.e. for 679,842 is 1.

Thus, LCM of Fractions is 305704.Finally, LCM of Fractions for 742/679, 824/842 is 305704.