Least Common Multiple of 732/120, 189/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 732/120, 189/475 quickly i.e. 46116/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/120, 189/475 is 46116/5.

LCM(732/120, 189/475) = 46116/5

LCM of 732/120, 189/475

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 732/120,189/475

Given numbers are 732/120,189/475

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 732,189

Least Common Multiple of Numerators i.e. LCM of 732,189 is 46116.

GCF of Denominators means GCF of 120,475 as per the given fractions.

GCF of 120,475 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,189

LCM of Fractions 732/120,189/475 is 46116/5

3 732, 189
244, 63

∴ So the LCM of the given numbers is 3 x 244 x 63 = 46116

Least Common Multiple of 732,189 with GCF Formula

Least Common Multiple of 732,189 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 732,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,189) = 3

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

GCF(732,189) x common factors =3 x 1 = 3

LCM(732,189) = ( 732 × 189 ) / 3

LCM(732,189) = 138348 / 3

LCM(732,189) = 46116


Lets's calculate GCF of 120,475

5 120, 475
24, 95

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46116/5

Therefore the LCM of Fractions 732/120,189/475 is 46116/5

Greatest Common Factor of 120,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,475 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 120,475 . The biggest common factor number is the GCF number.
So the greatest common factor 120,475 is 5.


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 732/120, 189/475

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 732/120, 189/475?

Answer: LCM of Numerators as per given numbers 732/120, 189/475 is

LCM of Numerators i.e. for 732,189 is 46116

GCF of denominators i.e. for 120,475 is 5.

Thus, LCM of Fractions is 46116/5.Finally, LCM of Fractions for 732/120, 189/475 is 46116/5.