Least Common Multiple of 733/677, 342/613, 892/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 733/677, 342/613, 892/324 quickly i.e. 111805956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 733/677, 342/613, 892/324 is 111805956.

LCM(733/677, 342/613, 892/324) = 111805956

LCM of 733/677, 342/613, 892/324

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 733/677,342/613,892/324

Given numbers are 733/677,342/613,892/324

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 733,342,892

Least Common Multiple of Numerators i.e. LCM of 733,342,892 is 111805956.

GCF of Denominators means GCF of 677,613,324 as per the given fractions.

GCF of 677,613,324 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 733,342,892

LCM of Fractions 733/677,342/613,892/324 is 111805956

2 733, 342, 892
733, 171, 446

∴ So the LCM of the given numbers is 2 x 733 x 171 x 446 = 111805956

Least Common Multiple of 733,342,892 with GCF Formula

Least Common Multiple of 733,342,892 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 733,342,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,342,892) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(733,342,892) x common factors =1 x 2 = 2

LCM(733,342,892) = ( 733 × 342 × 892 ) / 2

LCM(733,342,892) = 223611912 / 2

LCM(733,342,892) = 111805956


Lets's calculate GCF of 677,613,324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111805956/1

Therefore the LCM of Fractions 733/677,342/613,892/324 is 111805956

Greatest Common Factor of 677,613,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,613,324 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 677,613,324 . The biggest common factor number is the GCF number.
So the greatest common factor 677,613,324 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 733/677, 342/613, 892/324

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 733/677, 342/613, 892/324?

Answer: LCM of Numerators as per given numbers 733/677, 342/613, 892/324 is

LCM of Numerators i.e. for 733,342,892 is 111805956

GCF of denominators i.e. for 677,613,324 is 1.

Thus, LCM of Fractions is 111805956.Finally, LCM of Fractions for 733/677, 342/613, 892/324 is 111805956.