Least Common Multiple of 7168/219, 7389/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7168/219, 7389/375 quickly i.e. 17654784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7168/219, 7389/375 is 17654784.

LCM(7168/219, 7389/375) = 17654784

LCM of 7168/219, 7389/375

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 7168/219,7389/375

Given numbers are 7168/219,7389/375

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 7168,7389

Least Common Multiple of Numerators i.e. LCM of 7168,7389 is 52964352.

GCF of Denominators means GCF of 219,375 as per the given fractions.

GCF of 219,375 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7168,7389

LCM of Fractions 7168/219,7389/375 is 17654784

Given numbers has no common factors except 1. So, there LCM is their product i.e 52964352

Least Common Multiple of 7168,7389 with GCF Formula

Least Common Multiple of 7168,7389 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 7168,7389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7168,7389) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7168,7389) x common factors =1 x 1 = 1

LCM(7168,7389) = ( 7168 × 7389 ) / 1

LCM(7168,7389) = 52964352 / 1

LCM(7168,7389) = 52964352


Lets's calculate GCF of 219,375

3 219, 375
73, 125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52964352/3

Therefore the LCM of Fractions 7168/219,7389/375 is 17654784

Greatest Common Factor of 219,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,375 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

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 219,375 . The biggest common factor number is the GCF number.
So the greatest common factor 219,375 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 7168/219, 7389/375

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 7168/219, 7389/375?

Answer: LCM of Numerators as per given numbers 7168/219, 7389/375 is

LCM of Numerators i.e. for 7168,7389 is 52964352

GCF of denominators i.e. for 219,375 is 3.

Thus, LCM of Fractions is 17654784.Finally, LCM of Fractions for 7168/219, 7389/375 is 17654784.