Least Common Multiple of 810/76, 288/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/76, 288/437 quickly i.e. 12960/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/76, 288/437 is 12960/19.

LCM(810/76, 288/437) = 12960/19

LCM of 810/76, 288/437

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 810/76,288/437

Given numbers are 810/76,288/437

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 810,288

Least Common Multiple of Numerators i.e. LCM of 810,288 is 12960.

GCF of Denominators means GCF of 76,437 as per the given fractions.

GCF of 76,437 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,288

LCM of Fractions 810/76,288/437 is 12960/19

2 810, 288
3 405, 144
3 135, 48
45, 16

∴ So the LCM of the given numbers is 2 x 3 x 3 x 45 x 16 = 12960

Least Common Multiple of 810,288 with GCF Formula

Least Common Multiple of 810,288 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 810,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,288) = 18

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

GCF(810,288) x common factors =18 x 1 = 18

LCM(810,288) = ( 810 × 288 ) / 18

LCM(810,288) = 233280 / 18

LCM(810,288) = 12960


Lets's calculate GCF of 76,437

19 76, 437
4, 23

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12960/19

Therefore the LCM of Fractions 810/76,288/437 is 12960/19

Greatest Common Factor of 76,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,437 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 437

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

1,19,23,437

Greatest Common Factor

We found the factors 76,437 . The biggest common factor number is the GCF number.
So the greatest common factor 76,437 is 19.


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 810/76, 288/437

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 810/76, 288/437?

Answer: LCM of Numerators as per given numbers 810/76, 288/437 is

LCM of Numerators i.e. for 810,288 is 12960

GCF of denominators i.e. for 76,437 is 19.

Thus, LCM of Fractions is 12960/19.Finally, LCM of Fractions for 810/76, 288/437 is 12960/19.