Least Common Multiple of 493/90, 845/96, 674/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/90, 845/96, 674/494 quickly i.e. 140389145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/90, 845/96, 674/494 is 140389145.

LCM(493/90, 845/96, 674/494) = 140389145

LCM of 493/90, 845/96, 674/494

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 493/90,845/96,674/494

Given numbers are 493/90,845/96,674/494

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 493,845,674

Least Common Multiple of Numerators i.e. LCM of 493,845,674 is 280778290.

GCF of Denominators means GCF of 90,96,494 as per the given fractions.

GCF of 90,96,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,845,674

LCM of Fractions 493/90,845/96,674/494 is 140389145

Given numbers has no common factors except 1. So, there LCM is their product i.e 280778290

Least Common Multiple of 493,845,674 with GCF Formula

Least Common Multiple of 493,845,674 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 493,845,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,845,674) = 1

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

GCF(493,845,674) x common factors =1 x 1 = 1

LCM(493,845,674) = ( 493 × 845 × 674 ) / 1

LCM(493,845,674) = 280778290 / 1

LCM(493,845,674) = 280778290


Lets's calculate GCF of 90,96,494

2 90, 96, 494
45, 48, 247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280778290/2

Therefore the LCM of Fractions 493/90,845/96,674/494 is 140389145

Greatest Common Factor of 90,96,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,96,494 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 90,96,494 . The biggest common factor number is the GCF number.
So the greatest common factor 90,96,494 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 493/90, 845/96, 674/494

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 493/90, 845/96, 674/494?

Answer: LCM of Numerators as per given numbers 493/90, 845/96, 674/494 is

LCM of Numerators i.e. for 493,845,674 is 280778290

GCF of denominators i.e. for 90,96,494 is 2.

Thus, LCM of Fractions is 140389145.Finally, LCM of Fractions for 493/90, 845/96, 674/494 is 140389145.