Least Common Multiple of 426/146, 441/559, 492/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 426/146, 441/559, 492/573 quickly i.e. 5135004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 426/146, 441/559, 492/573 is 5135004.

LCM(426/146, 441/559, 492/573) = 5135004

LCM of 426/146, 441/559, 492/573

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 426/146,441/559,492/573

Given numbers are 426/146,441/559,492/573

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 426,441,492

Least Common Multiple of Numerators i.e. LCM of 426,441,492 is 5135004.

GCF of Denominators means GCF of 146,559,573 as per the given fractions.

GCF of 146,559,573 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 426,441,492

LCM of Fractions 426/146,441/559,492/573 is 5135004

2 426, 441, 492
3 213, 441, 246
71, 147, 82

∴ So the LCM of the given numbers is 2 x 3 x 71 x 147 x 82 = 5135004

Least Common Multiple of 426,441,492 with GCF Formula

Least Common Multiple of 426,441,492 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 426,441,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,441,492) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(426,441,492) x common factors =3 x 6 = 18

LCM(426,441,492) = ( 426 × 441 × 492 ) / 18

LCM(426,441,492) = 92430072 / 18

LCM(426,441,492) = 5135004


Lets's calculate GCF of 146,559,573

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5135004/1

Therefore the LCM of Fractions 426/146,441/559,492/573 is 5135004

Greatest Common Factor of 146,559,573 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,559,573 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Greatest Common Factor

We found the factors 146,559,573 . The biggest common factor number is the GCF number.
So the greatest common factor 146,559,573 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 426/146, 441/559, 492/573

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 426/146, 441/559, 492/573?

Answer: LCM of Numerators as per given numbers 426/146, 441/559, 492/573 is

LCM of Numerators i.e. for 426,441,492 is 5135004

GCF of denominators i.e. for 146,559,573 is 1.

Thus, LCM of Fractions is 5135004.Finally, LCM of Fractions for 426/146, 441/559, 492/573 is 5135004.