Least Common Multiple of 99/380, 48/445, 537/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/380, 48/445, 537/349 quickly i.e. 283536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/380, 48/445, 537/349 is 283536.

LCM(99/380, 48/445, 537/349) = 283536

LCM of 99/380, 48/445, 537/349

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 99/380,48/445,537/349

Given numbers are 99/380,48/445,537/349

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 99,48,537

Least Common Multiple of Numerators i.e. LCM of 99,48,537 is 283536.

GCF of Denominators means GCF of 380,445,349 as per the given fractions.

GCF of 380,445,349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,48,537

LCM of Fractions 99/380,48/445,537/349 is 283536

3 99, 48, 537
33, 16, 179

∴ So the LCM of the given numbers is 3 x 33 x 16 x 179 = 283536

Least Common Multiple of 99,48,537 with GCF Formula

Least Common Multiple of 99,48,537 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 99,48,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,48,537) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(99,48,537) x common factors =3 x 3 = 9

LCM(99,48,537) = ( 99 × 48 × 537 ) / 9

LCM(99,48,537) = 2551824 / 9

LCM(99,48,537) = 283536


Lets's calculate GCF of 380,445,349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 283536/1

Therefore the LCM of Fractions 99/380,48/445,537/349 is 283536

Greatest Common Factor of 380,445,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,445,349 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 380,445,349 . The biggest common factor number is the GCF number.
So the greatest common factor 380,445,349 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 99/380, 48/445, 537/349

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 99/380, 48/445, 537/349?

Answer: LCM of Numerators as per given numbers 99/380, 48/445, 537/349 is

LCM of Numerators i.e. for 99,48,537 is 283536

GCF of denominators i.e. for 380,445,349 is 1.

Thus, LCM of Fractions is 283536.Finally, LCM of Fractions for 99/380, 48/445, 537/349 is 283536.