Least Common Multiple of 46/545, 45/597, 576/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/545, 45/597, 576/222 quickly i.e. 66240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/545, 45/597, 576/222 is 66240.

LCM(46/545, 45/597, 576/222) = 66240

LCM of 46/545, 45/597, 576/222

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 46/545,45/597,576/222

Given numbers are 46/545,45/597,576/222

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 46,45,576

Least Common Multiple of Numerators i.e. LCM of 46,45,576 is 66240.

GCF of Denominators means GCF of 545,597,222 as per the given fractions.

GCF of 545,597,222 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,45,576

LCM of Fractions 46/545,45/597,576/222 is 66240

2 46, 45, 576
3 23, 45, 288
3 23, 15, 96
23, 5, 32

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 5 x 32 = 66240

Least Common Multiple of 46,45,576 with GCF Formula

Least Common Multiple of 46,45,576 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 46,45,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,45,576) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(46,45,576) x common factors =1 x 18 = 18

LCM(46,45,576) = ( 46 × 45 × 576 ) / 18

LCM(46,45,576) = 1192320 / 18

LCM(46,45,576) = 66240


Lets's calculate GCF of 545,597,222

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66240/1

Therefore the LCM of Fractions 46/545,45/597,576/222 is 66240

Greatest Common Factor of 545,597,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,597,222 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 545,597,222 . The biggest common factor number is the GCF number.
So the greatest common factor 545,597,222 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 46/545, 45/597, 576/222

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 46/545, 45/597, 576/222?

Answer: LCM of Numerators as per given numbers 46/545, 45/597, 576/222 is

LCM of Numerators i.e. for 46,45,576 is 66240

GCF of denominators i.e. for 545,597,222 is 1.

Thus, LCM of Fractions is 66240.Finally, LCM of Fractions for 46/545, 45/597, 576/222 is 66240.