Least Common Multiple of 480/386, 753/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/386, 753/965 quickly i.e. 120480/193 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/386, 753/965 is 120480/193.

LCM(480/386, 753/965) = 120480/193

LCM of 480/386, 753/965

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 480/386,753/965

Given numbers are 480/386,753/965

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 480,753

Least Common Multiple of Numerators i.e. LCM of 480,753 is 120480.

GCF of Denominators means GCF of 386,965 as per the given fractions.

GCF of 386,965 is 193 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,753

LCM of Fractions 480/386,753/965 is 120480/193

3 480, 753
160, 251

∴ So the LCM of the given numbers is 3 x 160 x 251 = 120480

Least Common Multiple of 480,753 with GCF Formula

Least Common Multiple of 480,753 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 480,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,753) = 3

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

GCF(480,753) x common factors =3 x 1 = 3

LCM(480,753) = ( 480 × 753 ) / 3

LCM(480,753) = 361440 / 3

LCM(480,753) = 120480


Lets's calculate GCF of 386,965

193 386, 965
2, 5

∴ So the GCF of the given numbers is 193 = 193

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120480/193

Therefore the LCM of Fractions 480/386,753/965 is 120480/193

Greatest Common Factor of 386,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,965 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 386,965 . The biggest common factor number is the GCF number.
So the greatest common factor 386,965 is 193.


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 480/386, 753/965

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 480/386, 753/965?

Answer: LCM of Numerators as per given numbers 480/386, 753/965 is

LCM of Numerators i.e. for 480,753 is 120480

GCF of denominators i.e. for 386,965 is 193.

Thus, LCM of Fractions is 120480/193.Finally, LCM of Fractions for 480/386, 753/965 is 120480/193.