Least Common Multiple of 33/26, 75/34, 12/48, 73/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/26, 75/34, 12/48, 73/514 quickly i.e. 120450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/26, 75/34, 12/48, 73/514 is 120450.

LCM(33/26, 75/34, 12/48, 73/514) = 120450

LCM of 33/26, 75/34, 12/48, 73/514

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 33/26,75/34,12/48,73/514

Given numbers are 33/26,75/34,12/48,73/514

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 33,75,12,73

Least Common Multiple of Numerators i.e. LCM of 33,75,12,73 is 240900.

GCF of Denominators means GCF of 26,34,48,514 as per the given fractions.

GCF of 26,34,48,514 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,75,12,73

LCM of Fractions 33/26,75/34,12/48,73/514 is 120450

3 33, 75, 12, 73
11, 25, 4, 73

∴ So the LCM of the given numbers is 3 x 11 x 25 x 4 x 73 = 240900

Least Common Multiple of 33,75,12,73 with GCF Formula

Least Common Multiple of 33,75,12,73 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 33,75,12,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,75,12,73) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(33,75,12,73) x common factors =1 x 9 = 9

LCM(33,75,12,73) = ( 33 × 75 × 12 × 73 ) / 9

LCM(33,75,12,73) = 2168100 / 9

LCM(33,75,12,73) = 240900


Lets's calculate GCF of 26,34,48,514

2 26, 34, 48, 514
13, 17, 24, 257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240900/2

Therefore the LCM of Fractions 33/26,75/34,12/48,73/514 is 120450

Greatest Common Factor of 26,34,48,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,34,48,514 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 26,34,48,514 . The biggest common factor number is the GCF number.
So the greatest common factor 26,34,48,514 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 33/26, 75/34, 12/48, 73/514

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 33/26, 75/34, 12/48, 73/514?

Answer: LCM of Numerators as per given numbers 33/26, 75/34, 12/48, 73/514 is

LCM of Numerators i.e. for 33,75,12,73 is 240900

GCF of denominators i.e. for 26,34,48,514 is 2.

Thus, LCM of Fractions is 120450.Finally, LCM of Fractions for 33/26, 75/34, 12/48, 73/514 is 120450.