Least Common Multiple of 750/81, 810/5358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 750/81, 810/5358 quickly i.e. 6750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/81, 810/5358 is 6750.

LCM(750/81, 810/5358) = 6750

LCM of 750/81, 810/5358

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 750/81,810/5358

Given numbers are 750/81,810/5358

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 750,810

Least Common Multiple of Numerators i.e. LCM of 750,810 is 20250.

GCF of Denominators means GCF of 81,5358 as per the given fractions.

GCF of 81,5358 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,810

LCM of Fractions 750/81,810/5358 is 6750

2 750, 810
3 375, 405
5 125, 135
25, 27

∴ So the LCM of the given numbers is 2 x 3 x 5 x 25 x 27 = 20250

Least Common Multiple of 750,810 with GCF Formula

Least Common Multiple of 750,810 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 750,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,810) = 30

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

GCF(750,810) x common factors =30 x 1 = 30

LCM(750,810) = ( 750 × 810 ) / 30

LCM(750,810) = 607500 / 30

LCM(750,810) = 20250


Lets's calculate GCF of 81,5358

3 81, 5358
27, 1786

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20250/3

Therefore the LCM of Fractions 750/81,810/5358 is 6750

Greatest Common Factor of 81,5358 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,5358 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 5358

List of positive integer factors of 5358 that divides 5358 without a remainder.

1,2,3,6,19,38,47,57,94,114,141,282,893,1786,2679,5358

Greatest Common Factor

We found the factors 81,5358 . The biggest common factor number is the GCF number.
So the greatest common factor 81,5358 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 750/81, 810/5358

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 750/81, 810/5358?

Answer: LCM of Numerators as per given numbers 750/81, 810/5358 is

LCM of Numerators i.e. for 750,810 is 20250

GCF of denominators i.e. for 81,5358 is 3.

Thus, LCM of Fractions is 6750.Finally, LCM of Fractions for 750/81, 810/5358 is 6750.