Least Common Multiple of 50/96, 72/69, 509/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/96, 72/69, 509/375 quickly i.e. 305400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/96, 72/69, 509/375 is 305400.

LCM(50/96, 72/69, 509/375) = 305400

LCM of 50/96, 72/69, 509/375

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 50/96,72/69,509/375

Given numbers are 50/96,72/69,509/375

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 50,72,509

Least Common Multiple of Numerators i.e. LCM of 50,72,509 is 916200.

GCF of Denominators means GCF of 96,69,375 as per the given fractions.

GCF of 96,69,375 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,72,509

LCM of Fractions 50/96,72/69,509/375 is 305400

2 50, 72, 509
25, 36, 509

∴ So the LCM of the given numbers is 2 x 25 x 36 x 509 = 916200

Least Common Multiple of 50,72,509 with GCF Formula

Least Common Multiple of 50,72,509 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 50,72,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,72,509) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(50,72,509) x common factors =1 x 2 = 2

LCM(50,72,509) = ( 50 × 72 × 509 ) / 2

LCM(50,72,509) = 1832400 / 2

LCM(50,72,509) = 916200


Lets's calculate GCF of 96,69,375

3 96, 69, 375
32, 23, 125

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 916200/3

Therefore the LCM of Fractions 50/96,72/69,509/375 is 305400

Greatest Common Factor of 96,69,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,69,375 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 96,69,375 . The biggest common factor number is the GCF number.
So the greatest common factor 96,69,375 is 3.


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 50/96, 72/69, 509/375

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 50/96, 72/69, 509/375?

Answer: LCM of Numerators as per given numbers 50/96, 72/69, 509/375 is

LCM of Numerators i.e. for 50,72,509 is 916200

GCF of denominators i.e. for 96,69,375 is 3.

Thus, LCM of Fractions is 305400.Finally, LCM of Fractions for 50/96, 72/69, 509/375 is 305400.