Least Common Multiple of 74/58, 11/86, 33/51, 20/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/58, 11/86, 33/51, 20/463 quickly i.e. 24420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/58, 11/86, 33/51, 20/463 is 24420.

LCM(74/58, 11/86, 33/51, 20/463) = 24420

LCM of 74/58, 11/86, 33/51, 20/463

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 74/58,11/86,33/51,20/463

Given numbers are 74/58,11/86,33/51,20/463

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 74,11,33,20

Least Common Multiple of Numerators i.e. LCM of 74,11,33,20 is 24420.

GCF of Denominators means GCF of 58,86,51,463 as per the given fractions.

GCF of 58,86,51,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,11,33,20

LCM of Fractions 74/58,11/86,33/51,20/463 is 24420

2 74, 11, 33, 20
11 37, 11, 33, 10
37, 1, 3, 10

∴ So the LCM of the given numbers is 2 x 11 x 37 x 1 x 3 x 10 = 24420

Least Common Multiple of 74,11,33,20 with GCF Formula

Least Common Multiple of 74,11,33,20 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 74,11,33,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,11,33,20) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(74,11,33,20) x common factors =1 x 22 = 22

LCM(74,11,33,20) = ( 74 × 11 × 33 × 20 ) / 22

LCM(74,11,33,20) = 537240 / 22

LCM(74,11,33,20) = 24420


Lets's calculate GCF of 58,86,51,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24420/1

Therefore the LCM of Fractions 74/58,11/86,33/51,20/463 is 24420

Greatest Common Factor of 58,86,51,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,86,51,463 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 58,86,51,463 . The biggest common factor number is the GCF number.
So the greatest common factor 58,86,51,463 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 74/58, 11/86, 33/51, 20/463

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 74/58, 11/86, 33/51, 20/463?

Answer: LCM of Numerators as per given numbers 74/58, 11/86, 33/51, 20/463 is

LCM of Numerators i.e. for 74,11,33,20 is 24420

GCF of denominators i.e. for 58,86,51,463 is 1.

Thus, LCM of Fractions is 24420.Finally, LCM of Fractions for 74/58, 11/86, 33/51, 20/463 is 24420.