Least Common Multiple of 493/946, 824/429, 227/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/946, 824/429, 227/324 quickly i.e. 92214664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/946, 824/429, 227/324 is 92214664.

LCM(493/946, 824/429, 227/324) = 92214664

LCM of 493/946, 824/429, 227/324

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 493/946,824/429,227/324

Given numbers are 493/946,824/429,227/324

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 493,824,227

Least Common Multiple of Numerators i.e. LCM of 493,824,227 is 92214664.

GCF of Denominators means GCF of 946,429,324 as per the given fractions.

GCF of 946,429,324 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,824,227

LCM of Fractions 493/946,824/429,227/324 is 92214664

Given numbers has no common factors except 1. So, there LCM is their product i.e 92214664

Least Common Multiple of 493,824,227 with GCF Formula

Least Common Multiple of 493,824,227 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 493,824,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,824,227) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(493,824,227) x common factors =1 x 1 = 1

LCM(493,824,227) = ( 493 × 824 × 227 ) / 1

LCM(493,824,227) = 92214664 / 1

LCM(493,824,227) = 92214664


Lets's calculate GCF of 946,429,324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92214664/1

Therefore the LCM of Fractions 493/946,824/429,227/324 is 92214664

Greatest Common Factor of 946,429,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,429,324 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 946,429,324 . The biggest common factor number is the GCF number.
So the greatest common factor 946,429,324 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 493/946, 824/429, 227/324

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 493/946, 824/429, 227/324?

Answer: LCM of Numerators as per given numbers 493/946, 824/429, 227/324 is

LCM of Numerators i.e. for 493,824,227 is 92214664

GCF of denominators i.e. for 946,429,324 is 1.

Thus, LCM of Fractions is 92214664.Finally, LCM of Fractions for 493/946, 824/429, 227/324 is 92214664.