Least Common Multiple of 468/906, 147/596, 227/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/906, 147/596, 227/362 quickly i.e. 2602782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/906, 147/596, 227/362 is 2602782.

LCM(468/906, 147/596, 227/362) = 2602782

LCM of 468/906, 147/596, 227/362

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 468/906,147/596,227/362

Given numbers are 468/906,147/596,227/362

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 468,147,227

Least Common Multiple of Numerators i.e. LCM of 468,147,227 is 5205564.

GCF of Denominators means GCF of 906,596,362 as per the given fractions.

GCF of 906,596,362 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,147,227

LCM of Fractions 468/906,147/596,227/362 is 2602782

3 468, 147, 227
156, 49, 227

∴ So the LCM of the given numbers is 3 x 156 x 49 x 227 = 5205564

Least Common Multiple of 468,147,227 with GCF Formula

Least Common Multiple of 468,147,227 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 468,147,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,147,227) = 1

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

GCF(468,147,227) x common factors =1 x 3 = 3

LCM(468,147,227) = ( 468 × 147 × 227 ) / 3

LCM(468,147,227) = 15616692 / 3

LCM(468,147,227) = 5205564


Lets's calculate GCF of 906,596,362

2 906, 596, 362
453, 298, 181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5205564/2

Therefore the LCM of Fractions 468/906,147/596,227/362 is 2602782

Greatest Common Factor of 906,596,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,596,362 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 906,596,362 . The biggest common factor number is the GCF number.
So the greatest common factor 906,596,362 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 468/906, 147/596, 227/362

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 468/906, 147/596, 227/362?

Answer: LCM of Numerators as per given numbers 468/906, 147/596, 227/362 is

LCM of Numerators i.e. for 468,147,227 is 5205564

GCF of denominators i.e. for 906,596,362 is 2.

Thus, LCM of Fractions is 2602782.Finally, LCM of Fractions for 468/906, 147/596, 227/362 is 2602782.