Least Common Multiple of 42/730, 41/429, 494/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/730, 41/429, 494/649 quickly i.e. 425334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/730, 41/429, 494/649 is 425334.

LCM(42/730, 41/429, 494/649) = 425334

LCM of 42/730, 41/429, 494/649

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 42/730,41/429,494/649

Given numbers are 42/730,41/429,494/649

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 42,41,494

Least Common Multiple of Numerators i.e. LCM of 42,41,494 is 425334.

GCF of Denominators means GCF of 730,429,649 as per the given fractions.

GCF of 730,429,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,41,494

LCM of Fractions 42/730,41/429,494/649 is 425334

2 42, 41, 494
21, 41, 247

∴ So the LCM of the given numbers is 2 x 21 x 41 x 247 = 425334

Least Common Multiple of 42,41,494 with GCF Formula

Least Common Multiple of 42,41,494 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 42,41,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,41,494) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(42,41,494) x common factors =1 x 2 = 2

LCM(42,41,494) = ( 42 × 41 × 494 ) / 2

LCM(42,41,494) = 850668 / 2

LCM(42,41,494) = 425334


Lets's calculate GCF of 730,429,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 425334/1

Therefore the LCM of Fractions 42/730,41/429,494/649 is 425334

Greatest Common Factor of 730,429,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,429,649 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

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 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 730,429,649 . The biggest common factor number is the GCF number.
So the greatest common factor 730,429,649 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 42/730, 41/429, 494/649

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 42/730, 41/429, 494/649?

Answer: LCM of Numerators as per given numbers 42/730, 41/429, 494/649 is

LCM of Numerators i.e. for 42,41,494 is 425334

GCF of denominators i.e. for 730,429,649 is 1.

Thus, LCM of Fractions is 425334.Finally, LCM of Fractions for 42/730, 41/429, 494/649 is 425334.