Least Common Multiple of 81/437, 2385/2356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/437, 2385/2356 quickly i.e. 21465/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/437, 2385/2356 is 21465/19.

LCM(81/437, 2385/2356) = 21465/19

LCM of 81/437, 2385/2356

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 81/437,2385/2356

Given numbers are 81/437,2385/2356

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 81,2385

Least Common Multiple of Numerators i.e. LCM of 81,2385 is 21465.

GCF of Denominators means GCF of 437,2356 as per the given fractions.

GCF of 437,2356 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,2385

LCM of Fractions 81/437,2385/2356 is 21465/19

3 81, 2385
3 27, 795
9, 265

∴ So the LCM of the given numbers is 3 x 3 x 9 x 265 = 21465

Least Common Multiple of 81,2385 with GCF Formula

Least Common Multiple of 81,2385 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 81,2385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,2385) = 9

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

GCF(81,2385) x common factors =9 x 1 = 9

LCM(81,2385) = ( 81 × 2385 ) / 9

LCM(81,2385) = 193185 / 9

LCM(81,2385) = 21465


Lets's calculate GCF of 437,2356

19 437, 2356
23, 124

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21465/19

Therefore the LCM of Fractions 81/437,2385/2356 is 21465/19

Greatest Common Factor of 437,2356 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,2356 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 2356

List of positive integer factors of 2356 that divides 2356 without a remainder.

1,2,4,19,31,38,62,76,124,589,1178,2356

Greatest Common Factor

We found the factors 437,2356 . The biggest common factor number is the GCF number.
So the greatest common factor 437,2356 is 19.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 81/437, 2385/2356

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 81/437, 2385/2356?

Answer: LCM of Numerators as per given numbers 81/437, 2385/2356 is

LCM of Numerators i.e. for 81,2385 is 21465

GCF of denominators i.e. for 437,2356 is 19.

Thus, LCM of Fractions is 21465/19.Finally, LCM of Fractions for 81/437, 2385/2356 is 21465/19.