Least Common Multiple of 32/494, 33/945, 749/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/494, 33/945, 749/546 quickly i.e. 790944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/494, 33/945, 749/546 is 790944.

LCM(32/494, 33/945, 749/546) = 790944

LCM of 32/494, 33/945, 749/546

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 32/494,33/945,749/546

Given numbers are 32/494,33/945,749/546

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 32,33,749

Least Common Multiple of Numerators i.e. LCM of 32,33,749 is 790944.

GCF of Denominators means GCF of 494,945,546 as per the given fractions.

GCF of 494,945,546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,33,749

LCM of Fractions 32/494,33/945,749/546 is 790944

Given numbers has no common factors except 1. So, there LCM is their product i.e 790944

Least Common Multiple of 32,33,749 with GCF Formula

Least Common Multiple of 32,33,749 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 32,33,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,33,749) = 1

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

GCF(32,33,749) x common factors =1 x 1 = 1

LCM(32,33,749) = ( 32 × 33 × 749 ) / 1

LCM(32,33,749) = 790944 / 1

LCM(32,33,749) = 790944


Lets's calculate GCF of 494,945,546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 790944/1

Therefore the LCM of Fractions 32/494,33/945,749/546 is 790944

Greatest Common Factor of 494,945,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,945,546 By Matching Biggest Common Factor Method

Factors of 494

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

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

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 494,945,546 . The biggest common factor number is the GCF number.
So the greatest common factor 494,945,546 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 32/494, 33/945, 749/546

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 32/494, 33/945, 749/546?

Answer: LCM of Numerators as per given numbers 32/494, 33/945, 749/546 is

LCM of Numerators i.e. for 32,33,749 is 790944

GCF of denominators i.e. for 494,945,546 is 1.

Thus, LCM of Fractions is 790944.Finally, LCM of Fractions for 32/494, 33/945, 749/546 is 790944.