Least Common Multiple of 828/692, 789/465, 605/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/692, 789/465, 605/897 quickly i.e. 131747220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/692, 789/465, 605/897 is 131747220.

LCM(828/692, 789/465, 605/897) = 131747220

LCM of 828/692, 789/465, 605/897

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 828/692,789/465,605/897

Given numbers are 828/692,789/465,605/897

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 828,789,605

Least Common Multiple of Numerators i.e. LCM of 828,789,605 is 131747220.

GCF of Denominators means GCF of 692,465,897 as per the given fractions.

GCF of 692,465,897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,789,605

LCM of Fractions 828/692,789/465,605/897 is 131747220

3 828, 789, 605
276, 263, 605

∴ So the LCM of the given numbers is 3 x 276 x 263 x 605 = 131747220

Least Common Multiple of 828,789,605 with GCF Formula

Least Common Multiple of 828,789,605 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 828,789,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,789,605) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(828,789,605) x common factors =1 x 3 = 3

LCM(828,789,605) = ( 828 × 789 × 605 ) / 3

LCM(828,789,605) = 395241660 / 3

LCM(828,789,605) = 131747220


Lets's calculate GCF of 692,465,897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131747220/1

Therefore the LCM of Fractions 828/692,789/465,605/897 is 131747220

Greatest Common Factor of 692,465,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,465,897 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 692,465,897 . The biggest common factor number is the GCF number.
So the greatest common factor 692,465,897 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 828/692, 789/465, 605/897

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 828/692, 789/465, 605/897?

Answer: LCM of Numerators as per given numbers 828/692, 789/465, 605/897 is

LCM of Numerators i.e. for 828,789,605 is 131747220

GCF of denominators i.e. for 692,465,897 is 1.

Thus, LCM of Fractions is 131747220.Finally, LCM of Fractions for 828/692, 789/465, 605/897 is 131747220.