Least Common Multiple of 810/93, 267/3471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/93, 267/3471 quickly i.e. 24030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/93, 267/3471 is 24030.

LCM(810/93, 267/3471) = 24030

LCM of 810/93, 267/3471

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 810/93,267/3471

Given numbers are 810/93,267/3471

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 810,267

Least Common Multiple of Numerators i.e. LCM of 810,267 is 72090.

GCF of Denominators means GCF of 93,3471 as per the given fractions.

GCF of 93,3471 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,267

LCM of Fractions 810/93,267/3471 is 24030

3 810, 267
270, 89

∴ So the LCM of the given numbers is 3 x 270 x 89 = 72090

Least Common Multiple of 810,267 with GCF Formula

Least Common Multiple of 810,267 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 810,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,267) = 3

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

GCF(810,267) x common factors =3 x 1 = 3

LCM(810,267) = ( 810 × 267 ) / 3

LCM(810,267) = 216270 / 3

LCM(810,267) = 72090


Lets's calculate GCF of 93,3471

3 93, 3471
31, 1157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72090/3

Therefore the LCM of Fractions 810/93,267/3471 is 24030

Greatest Common Factor of 93,3471 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,3471 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 3471

List of positive integer factors of 3471 that divides 3471 without a remainder.

1,3,13,39,89,267,1157,3471

Greatest Common Factor

We found the factors 93,3471 . The biggest common factor number is the GCF number.
So the greatest common factor 93,3471 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 810/93, 267/3471

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 810/93, 267/3471?

Answer: LCM of Numerators as per given numbers 810/93, 267/3471 is

LCM of Numerators i.e. for 810,267 is 72090

GCF of denominators i.e. for 93,3471 is 3.

Thus, LCM of Fractions is 24030.Finally, LCM of Fractions for 810/93, 267/3471 is 24030.