Least Common Multiple of 810/110, 451/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/110, 451/284 quickly i.e. 182655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/110, 451/284 is 182655.

LCM(810/110, 451/284) = 182655

LCM of 810/110, 451/284

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 810/110,451/284

Given numbers are 810/110,451/284

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 810,451

Least Common Multiple of Numerators i.e. LCM of 810,451 is 365310.

GCF of Denominators means GCF of 110,284 as per the given fractions.

GCF of 110,284 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,451

LCM of Fractions 810/110,451/284 is 182655

Given numbers has no common factors except 1. So, there LCM is their product i.e 365310

Least Common Multiple of 810,451 with GCF Formula

Least Common Multiple of 810,451 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 810,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,451) = 1

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

GCF(810,451) x common factors =1 x 1 = 1

LCM(810,451) = ( 810 × 451 ) / 1

LCM(810,451) = 365310 / 1

LCM(810,451) = 365310


Lets's calculate GCF of 110,284

2 110, 284
55, 142

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365310/2

Therefore the LCM of Fractions 810/110,451/284 is 182655

Greatest Common Factor of 110,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,284 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 110,284 . The biggest common factor number is the GCF number.
So the greatest common factor 110,284 is 2.


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 810/110, 451/284

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 810/110, 451/284?

Answer: LCM of Numerators as per given numbers 810/110, 451/284 is

LCM of Numerators i.e. for 810,451 is 365310

GCF of denominators i.e. for 110,284 is 2.

Thus, LCM of Fractions is 182655.Finally, LCM of Fractions for 810/110, 451/284 is 182655.