Least Common Multiple of 692/88, 201/38, 243/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 692/88, 201/38, 243/486 quickly i.e. 5633226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 692/88, 201/38, 243/486 is 5633226.

LCM(692/88, 201/38, 243/486) = 5633226

LCM of 692/88, 201/38, 243/486

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 692/88,201/38,243/486

Given numbers are 692/88,201/38,243/486

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 692,201,243

Least Common Multiple of Numerators i.e. LCM of 692,201,243 is 11266452.

GCF of Denominators means GCF of 88,38,486 as per the given fractions.

GCF of 88,38,486 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 692,201,243

LCM of Fractions 692/88,201/38,243/486 is 5633226

3 692, 201, 243
692, 67, 81

∴ So the LCM of the given numbers is 3 x 692 x 67 x 81 = 11266452

Least Common Multiple of 692,201,243 with GCF Formula

Least Common Multiple of 692,201,243 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 692,201,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,201,243) = 1

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

GCF(692,201,243) x common factors =1 x 3 = 3

LCM(692,201,243) = ( 692 × 201 × 243 ) / 3

LCM(692,201,243) = 33799356 / 3

LCM(692,201,243) = 11266452


Lets's calculate GCF of 88,38,486

2 88, 38, 486
44, 19, 243

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11266452/2

Therefore the LCM of Fractions 692/88,201/38,243/486 is 5633226

Greatest Common Factor of 88,38,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,38,486 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 88,38,486 . The biggest common factor number is the GCF number.
So the greatest common factor 88,38,486 is 2.


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 692/88, 201/38, 243/486

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 692/88, 201/38, 243/486?

Answer: LCM of Numerators as per given numbers 692/88, 201/38, 243/486 is

LCM of Numerators i.e. for 692,201,243 is 11266452

GCF of denominators i.e. for 88,38,486 is 2.

Thus, LCM of Fractions is 5633226.Finally, LCM of Fractions for 692/88, 201/38, 243/486 is 5633226.