Least Common Multiple of 71/84, 477/70, 272/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/84, 477/70, 272/144 quickly i.e. 4605912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/84, 477/70, 272/144 is 4605912.

LCM(71/84, 477/70, 272/144) = 4605912

LCM of 71/84, 477/70, 272/144

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 71/84,477/70,272/144

Given numbers are 71/84,477/70,272/144

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 71,477,272

Least Common Multiple of Numerators i.e. LCM of 71,477,272 is 9211824.

GCF of Denominators means GCF of 84,70,144 as per the given fractions.

GCF of 84,70,144 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,477,272

LCM of Fractions 71/84,477/70,272/144 is 4605912

Given numbers has no common factors except 1. So, there LCM is their product i.e 9211824

Least Common Multiple of 71,477,272 with GCF Formula

Least Common Multiple of 71,477,272 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 71,477,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,477,272) = 1

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

GCF(71,477,272) x common factors =1 x 1 = 1

LCM(71,477,272) = ( 71 × 477 × 272 ) / 1

LCM(71,477,272) = 9211824 / 1

LCM(71,477,272) = 9211824


Lets's calculate GCF of 84,70,144

2 84, 70, 144
42, 35, 72

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9211824/2

Therefore the LCM of Fractions 71/84,477/70,272/144 is 4605912

Greatest Common Factor of 84,70,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,70,144 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 84,70,144 . The biggest common factor number is the GCF number.
So the greatest common factor 84,70,144 is 2.


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 71/84, 477/70, 272/144

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 71/84, 477/70, 272/144?

Answer: LCM of Numerators as per given numbers 71/84, 477/70, 272/144 is

LCM of Numerators i.e. for 71,477,272 is 9211824

GCF of denominators i.e. for 84,70,144 is 2.

Thus, LCM of Fractions is 4605912.Finally, LCM of Fractions for 71/84, 477/70, 272/144 is 4605912.