Least Common Multiple of 42/283, 227/642, 454/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/283, 227/642, 454/923 quickly i.e. 9534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/283, 227/642, 454/923 is 9534.

LCM(42/283, 227/642, 454/923) = 9534

LCM of 42/283, 227/642, 454/923

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 42/283,227/642,454/923

Given numbers are 42/283,227/642,454/923

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 42,227,454

Least Common Multiple of Numerators i.e. LCM of 42,227,454 is 9534.

GCF of Denominators means GCF of 283,642,923 as per the given fractions.

GCF of 283,642,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,227,454

LCM of Fractions 42/283,227/642,454/923 is 9534

2 42, 227, 454
227 21, 227, 227
21, 1, 1

∴ So the LCM of the given numbers is 2 x 227 x 21 x 1 x 1 = 9534

Least Common Multiple of 42,227,454 with GCF Formula

Least Common Multiple of 42,227,454 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 42,227,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,227,454) = 1

common factors(in case of two or more numbers have common factors) = 454

GCF(42,227,454) x common factors =1 x 454 = 454

LCM(42,227,454) = ( 42 × 227 × 454 ) / 454

LCM(42,227,454) = 4328436 / 454

LCM(42,227,454) = 9534


Lets's calculate GCF of 283,642,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9534/1

Therefore the LCM of Fractions 42/283,227/642,454/923 is 9534

Greatest Common Factor of 283,642,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,642,923 By Matching Biggest Common Factor Method

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 283,642,923 . The biggest common factor number is the GCF number.
So the greatest common factor 283,642,923 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 42/283, 227/642, 454/923

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 42/283, 227/642, 454/923?

Answer: LCM of Numerators as per given numbers 42/283, 227/642, 454/923 is

LCM of Numerators i.e. for 42,227,454 is 9534

GCF of denominators i.e. for 283,642,923 is 1.

Thus, LCM of Fractions is 9534.Finally, LCM of Fractions for 42/283, 227/642, 454/923 is 9534.