Least Common Multiple of 144/214, 911/711, 583/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/214, 911/711, 583/388 quickly i.e. 76480272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/214, 911/711, 583/388 is 76480272.

LCM(144/214, 911/711, 583/388) = 76480272

LCM of 144/214, 911/711, 583/388

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 144/214,911/711,583/388

Given numbers are 144/214,911/711,583/388

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 144,911,583

Least Common Multiple of Numerators i.e. LCM of 144,911,583 is 76480272.

GCF of Denominators means GCF of 214,711,388 as per the given fractions.

GCF of 214,711,388 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,911,583

LCM of Fractions 144/214,911/711,583/388 is 76480272

Given numbers has no common factors except 1. So, there LCM is their product i.e 76480272

Least Common Multiple of 144,911,583 with GCF Formula

Least Common Multiple of 144,911,583 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 144,911,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,911,583) = 1

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

GCF(144,911,583) x common factors =1 x 1 = 1

LCM(144,911,583) = ( 144 × 911 × 583 ) / 1

LCM(144,911,583) = 76480272 / 1

LCM(144,911,583) = 76480272


Lets's calculate GCF of 214,711,388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76480272/1

Therefore the LCM of Fractions 144/214,911/711,583/388 is 76480272

Greatest Common Factor of 214,711,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,711,388 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 214,711,388 . The biggest common factor number is the GCF number.
So the greatest common factor 214,711,388 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 144/214, 911/711, 583/388

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 144/214, 911/711, 583/388?

Answer: LCM of Numerators as per given numbers 144/214, 911/711, 583/388 is

LCM of Numerators i.e. for 144,911,583 is 76480272

GCF of denominators i.e. for 214,711,388 is 1.

Thus, LCM of Fractions is 76480272.Finally, LCM of Fractions for 144/214, 911/711, 583/388 is 76480272.