Least Common Multiple of 81/609, 67/692, 469/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/609, 67/692, 469/655 quickly i.e. 37989 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/609, 67/692, 469/655 is 37989.

LCM(81/609, 67/692, 469/655) = 37989

LCM of 81/609, 67/692, 469/655

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 81/609,67/692,469/655

Given numbers are 81/609,67/692,469/655

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 81,67,469

Least Common Multiple of Numerators i.e. LCM of 81,67,469 is 37989.

GCF of Denominators means GCF of 609,692,655 as per the given fractions.

GCF of 609,692,655 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,67,469

LCM of Fractions 81/609,67/692,469/655 is 37989

67 81, 67, 469
81, 1, 7

∴ So the LCM of the given numbers is 67 x 81 x 1 x 7 = 37989

Least Common Multiple of 81,67,469 with GCF Formula

Least Common Multiple of 81,67,469 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 81,67,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,67,469) = 1

common factors(in case of two or more numbers have common factors) = 67

GCF(81,67,469) x common factors =1 x 67 = 67

LCM(81,67,469) = ( 81 × 67 × 469 ) / 67

LCM(81,67,469) = 2545263 / 67

LCM(81,67,469) = 37989


Lets's calculate GCF of 609,692,655

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37989/1

Therefore the LCM of Fractions 81/609,67/692,469/655 is 37989

Greatest Common Factor of 609,692,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,692,655 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 692

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

1,2,4,173,346,692

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 609,692,655 . The biggest common factor number is the GCF number.
So the greatest common factor 609,692,655 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 81/609, 67/692, 469/655

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 81/609, 67/692, 469/655?

Answer: LCM of Numerators as per given numbers 81/609, 67/692, 469/655 is

LCM of Numerators i.e. for 81,67,469 is 37989

GCF of denominators i.e. for 609,692,655 is 1.

Thus, LCM of Fractions is 37989.Finally, LCM of Fractions for 81/609, 67/692, 469/655 is 37989.