Least Common Multiple of 71/537, 4336/5367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/537, 4336/5367 quickly i.e. 307856/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/537, 4336/5367 is 307856/3.

LCM(71/537, 4336/5367) = 307856/3

LCM of 71/537, 4336/5367

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 71/537,4336/5367

Given numbers are 71/537,4336/5367

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 71,4336

Least Common Multiple of Numerators i.e. LCM of 71,4336 is 307856.

GCF of Denominators means GCF of 537,5367 as per the given fractions.

GCF of 537,5367 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,4336

LCM of Fractions 71/537,4336/5367 is 307856/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 307856

Least Common Multiple of 71,4336 with GCF Formula

Least Common Multiple of 71,4336 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 71,4336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,4336) = 1

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

GCF(71,4336) x common factors =1 x 1 = 1

LCM(71,4336) = ( 71 × 4336 ) / 1

LCM(71,4336) = 307856 / 1

LCM(71,4336) = 307856


Lets's calculate GCF of 537,5367

3 537, 5367
179, 1789

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307856/3

Therefore the LCM of Fractions 71/537,4336/5367 is 307856/3

Greatest Common Factor of 537,5367 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,5367 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 5367

List of positive integer factors of 5367 that divides 5367 without a remainder.

1,3,1789,5367

Greatest Common Factor

We found the factors 537,5367 . The biggest common factor number is the GCF number.
So the greatest common factor 537,5367 is 3.


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 71/537, 4336/5367

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 71/537, 4336/5367?

Answer: LCM of Numerators as per given numbers 71/537, 4336/5367 is

LCM of Numerators i.e. for 71,4336 is 307856

GCF of denominators i.e. for 537,5367 is 3.

Thus, LCM of Fractions is 307856/3.Finally, LCM of Fractions for 71/537, 4336/5367 is 307856/3.