Least Common Multiple of 33/394, 251/486, 258/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/394, 251/486, 258/436 quickly i.e. 356169 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/394, 251/486, 258/436 is 356169.

LCM(33/394, 251/486, 258/436) = 356169

LCM of 33/394, 251/486, 258/436

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 33/394,251/486,258/436

Given numbers are 33/394,251/486,258/436

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 33,251,258

Least Common Multiple of Numerators i.e. LCM of 33,251,258 is 712338.

GCF of Denominators means GCF of 394,486,436 as per the given fractions.

GCF of 394,486,436 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,251,258

LCM of Fractions 33/394,251/486,258/436 is 356169

3 33, 251, 258
11, 251, 86

∴ So the LCM of the given numbers is 3 x 11 x 251 x 86 = 712338

Least Common Multiple of 33,251,258 with GCF Formula

Least Common Multiple of 33,251,258 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 33,251,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,251,258) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,251,258) x common factors =1 x 3 = 3

LCM(33,251,258) = ( 33 × 251 × 258 ) / 3

LCM(33,251,258) = 2137014 / 3

LCM(33,251,258) = 712338


Lets's calculate GCF of 394,486,436

2 394, 486, 436
197, 243, 218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 712338/2

Therefore the LCM of Fractions 33/394,251/486,258/436 is 356169

Greatest Common Factor of 394,486,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,486,436 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 394,486,436 . The biggest common factor number is the GCF number.
So the greatest common factor 394,486,436 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 33/394, 251/486, 258/436

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 33/394, 251/486, 258/436?

Answer: LCM of Numerators as per given numbers 33/394, 251/486, 258/436 is

LCM of Numerators i.e. for 33,251,258 is 712338

GCF of denominators i.e. for 394,486,436 is 2.

Thus, LCM of Fractions is 356169.Finally, LCM of Fractions for 33/394, 251/486, 258/436 is 356169.