Least Common Multiple of 147/385, 992/601, 333/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 147/385, 992/601, 333/984 quickly i.e. 16186464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 147/385, 992/601, 333/984 is 16186464.

LCM(147/385, 992/601, 333/984) = 16186464

LCM of 147/385, 992/601, 333/984

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 147/385,992/601,333/984

Given numbers are 147/385,992/601,333/984

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 147,992,333

Least Common Multiple of Numerators i.e. LCM of 147,992,333 is 16186464.

GCF of Denominators means GCF of 385,601,984 as per the given fractions.

GCF of 385,601,984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 147,992,333

LCM of Fractions 147/385,992/601,333/984 is 16186464

3 147, 992, 333
49, 992, 111

∴ So the LCM of the given numbers is 3 x 49 x 992 x 111 = 16186464

Least Common Multiple of 147,992,333 with GCF Formula

Least Common Multiple of 147,992,333 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 147,992,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,992,333) = 1

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

GCF(147,992,333) x common factors =1 x 3 = 3

LCM(147,992,333) = ( 147 × 992 × 333 ) / 3

LCM(147,992,333) = 48559392 / 3

LCM(147,992,333) = 16186464


Lets's calculate GCF of 385,601,984

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16186464/1

Therefore the LCM of Fractions 147/385,992/601,333/984 is 16186464

Greatest Common Factor of 385,601,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,601,984 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 385,601,984 . The biggest common factor number is the GCF number.
So the greatest common factor 385,601,984 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 147/385, 992/601, 333/984

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 147/385, 992/601, 333/984?

Answer: LCM of Numerators as per given numbers 147/385, 992/601, 333/984 is

LCM of Numerators i.e. for 147,992,333 is 16186464

GCF of denominators i.e. for 385,601,984 is 1.

Thus, LCM of Fractions is 16186464.Finally, LCM of Fractions for 147/385, 992/601, 333/984 is 16186464.