Least Common Multiple of 693/48, 480/1445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 693/48, 480/1445 quickly i.e. 110880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 693/48, 480/1445 is 110880.

LCM(693/48, 480/1445) = 110880

LCM of 693/48, 480/1445

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 693/48,480/1445

Given numbers are 693/48,480/1445

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 693,480

Least Common Multiple of Numerators i.e. LCM of 693,480 is 110880.

GCF of Denominators means GCF of 48,1445 as per the given fractions.

GCF of 48,1445 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 693,480

LCM of Fractions 693/48,480/1445 is 110880

3 693, 480
231, 160

∴ So the LCM of the given numbers is 3 x 231 x 160 = 110880

Least Common Multiple of 693,480 with GCF Formula

Least Common Multiple of 693,480 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 693,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,480) = 3

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

GCF(693,480) x common factors =3 x 1 = 3

LCM(693,480) = ( 693 × 480 ) / 3

LCM(693,480) = 332640 / 3

LCM(693,480) = 110880


Lets's calculate GCF of 48,1445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110880/1

Therefore the LCM of Fractions 693/48,480/1445 is 110880

Greatest Common Factor of 48,1445 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,1445 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 1445

List of positive integer factors of 1445 that divides 1445 without a remainder.

1,5,17,85,289,1445

Greatest Common Factor

We found the factors 48,1445 . The biggest common factor number is the GCF number.
So the greatest common factor 48,1445 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 693/48, 480/1445

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 693/48, 480/1445?

Answer: LCM of Numerators as per given numbers 693/48, 480/1445 is

LCM of Numerators i.e. for 693,480 is 110880

GCF of denominators i.e. for 48,1445 is 1.

Thus, LCM of Fractions is 110880.Finally, LCM of Fractions for 693/48, 480/1445 is 110880.