Least Common Multiple of 30/56, 91/52, 75/38, 52/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/56, 91/52, 75/38, 52/733 quickly i.e. 27300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/56, 91/52, 75/38, 52/733 is 27300.

LCM(30/56, 91/52, 75/38, 52/733) = 27300

LCM of 30/56, 91/52, 75/38, 52/733

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 30/56,91/52,75/38,52/733

Given numbers are 30/56,91/52,75/38,52/733

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 30,91,75,52

Least Common Multiple of Numerators i.e. LCM of 30,91,75,52 is 27300.

GCF of Denominators means GCF of 56,52,38,733 as per the given fractions.

GCF of 56,52,38,733 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,91,75,52

LCM of Fractions 30/56,91/52,75/38,52/733 is 27300

2 30, 91, 75, 52
3 15, 91, 75, 26
5 5, 91, 25, 26
13 1, 91, 5, 26
1, 7, 5, 2

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 1 x 7 x 5 x 2 = 27300

Least Common Multiple of 30,91,75,52 with GCF Formula

Least Common Multiple of 30,91,75,52 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 30,91,75,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,91,75,52) = 1

common factors(in case of two or more numbers have common factors) = 390

GCF(30,91,75,52) x common factors =1 x 390 = 390

LCM(30,91,75,52) = ( 30 × 91 × 75 × 52 ) / 390

LCM(30,91,75,52) = 10647000 / 390

LCM(30,91,75,52) = 27300


Lets's calculate GCF of 56,52,38,733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27300/1

Therefore the LCM of Fractions 30/56,91/52,75/38,52/733 is 27300

Greatest Common Factor of 56,52,38,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,52,38,733 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors 56,52,38,733 . The biggest common factor number is the GCF number.
So the greatest common factor 56,52,38,733 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 30/56, 91/52, 75/38, 52/733

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 30/56, 91/52, 75/38, 52/733?

Answer: LCM of Numerators as per given numbers 30/56, 91/52, 75/38, 52/733 is

LCM of Numerators i.e. for 30,91,75,52 is 27300

GCF of denominators i.e. for 56,52,38,733 is 1.

Thus, LCM of Fractions is 27300.Finally, LCM of Fractions for 30/56, 91/52, 75/38, 52/733 is 27300.