Least Common Multiple of 890/57, 908/87, 433/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 890/57, 908/87, 433/297 quickly i.e. 174957980/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 890/57, 908/87, 433/297 is 174957980/3.

LCM(890/57, 908/87, 433/297) = 174957980/3

LCM of 890/57, 908/87, 433/297

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 890/57,908/87,433/297

Given numbers are 890/57,908/87,433/297

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 890,908,433

Least Common Multiple of Numerators i.e. LCM of 890,908,433 is 174957980.

GCF of Denominators means GCF of 57,87,297 as per the given fractions.

GCF of 57,87,297 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 890,908,433

LCM of Fractions 890/57,908/87,433/297 is 174957980/3

2 890, 908, 433
445, 454, 433

∴ So the LCM of the given numbers is 2 x 445 x 454 x 433 = 174957980

Least Common Multiple of 890,908,433 with GCF Formula

Least Common Multiple of 890,908,433 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 890,908,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,908,433) = 1

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

GCF(890,908,433) x common factors =1 x 2 = 2

LCM(890,908,433) = ( 890 × 908 × 433 ) / 2

LCM(890,908,433) = 349915960 / 2

LCM(890,908,433) = 174957980


Lets's calculate GCF of 57,87,297

3 57, 87, 297
19, 29, 99

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174957980/3

Therefore the LCM of Fractions 890/57,908/87,433/297 is 174957980/3

Greatest Common Factor of 57,87,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,87,297 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 57,87,297 . The biggest common factor number is the GCF number.
So the greatest common factor 57,87,297 is 3.


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 890/57, 908/87, 433/297

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 890/57, 908/87, 433/297?

Answer: LCM of Numerators as per given numbers 890/57, 908/87, 433/297 is

LCM of Numerators i.e. for 890,908,433 is 174957980

GCF of denominators i.e. for 57,87,297 is 3.

Thus, LCM of Fractions is 174957980/3.Finally, LCM of Fractions for 890/57, 908/87, 433/297 is 174957980/3.