Least Common Multiple of 92/205, 88/150, 243/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/205, 88/150, 243/454 quickly i.e. 491832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/205, 88/150, 243/454 is 491832.

LCM(92/205, 88/150, 243/454) = 491832

LCM of 92/205, 88/150, 243/454

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 92/205,88/150,243/454

Given numbers are 92/205,88/150,243/454

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 92,88,243

Least Common Multiple of Numerators i.e. LCM of 92,88,243 is 491832.

GCF of Denominators means GCF of 205,150,454 as per the given fractions.

GCF of 205,150,454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,88,243

LCM of Fractions 92/205,88/150,243/454 is 491832

2 92, 88, 243
2 46, 44, 243
23, 22, 243

∴ So the LCM of the given numbers is 2 x 2 x 23 x 22 x 243 = 491832

Least Common Multiple of 92,88,243 with GCF Formula

Least Common Multiple of 92,88,243 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 92,88,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,88,243) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(92,88,243) x common factors =1 x 4 = 4

LCM(92,88,243) = ( 92 × 88 × 243 ) / 4

LCM(92,88,243) = 1967328 / 4

LCM(92,88,243) = 491832


Lets's calculate GCF of 205,150,454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 491832/1

Therefore the LCM of Fractions 92/205,88/150,243/454 is 491832

Greatest Common Factor of 205,150,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,150,454 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 205,150,454 . The biggest common factor number is the GCF number.
So the greatest common factor 205,150,454 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 92/205, 88/150, 243/454

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 92/205, 88/150, 243/454?

Answer: LCM of Numerators as per given numbers 92/205, 88/150, 243/454 is

LCM of Numerators i.e. for 92,88,243 is 491832

GCF of denominators i.e. for 205,150,454 is 1.

Thus, LCM of Fractions is 491832.Finally, LCM of Fractions for 92/205, 88/150, 243/454 is 491832.