Least Common Multiple of 375/15, 720/3754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 375/15, 720/3754 quickly i.e. 18000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 375/15, 720/3754 is 18000.

LCM(375/15, 720/3754) = 18000

LCM of 375/15, 720/3754

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 375/15,720/3754

Given numbers are 375/15,720/3754

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 375,720

Least Common Multiple of Numerators i.e. LCM of 375,720 is 18000.

GCF of Denominators means GCF of 15,3754 as per the given fractions.

GCF of 15,3754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 375,720

LCM of Fractions 375/15,720/3754 is 18000

3 375, 720
5 125, 240
25, 48

∴ So the LCM of the given numbers is 3 x 5 x 25 x 48 = 18000

Least Common Multiple of 375,720 with GCF Formula

Least Common Multiple of 375,720 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 375,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,720) = 15

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

GCF(375,720) x common factors =15 x 1 = 15

LCM(375,720) = ( 375 × 720 ) / 15

LCM(375,720) = 270000 / 15

LCM(375,720) = 18000


Lets's calculate GCF of 15,3754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18000/1

Therefore the LCM of Fractions 375/15,720/3754 is 18000

Greatest Common Factor of 15,3754 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,3754 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 3754

List of positive integer factors of 3754 that divides 3754 without a remainder.

1,2,1877,3754

Greatest Common Factor

We found the factors 15,3754 . The biggest common factor number is the GCF number.
So the greatest common factor 15,3754 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 375/15, 720/3754

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 375/15, 720/3754?

Answer: LCM of Numerators as per given numbers 375/15, 720/3754 is

LCM of Numerators i.e. for 375,720 is 18000

GCF of denominators i.e. for 15,3754 is 1.

Thus, LCM of Fractions is 18000.Finally, LCM of Fractions for 375/15, 720/3754 is 18000.