Least Common Multiple of 810/322, 678/351, 423/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/322, 678/351, 423/185 quickly i.e. 4301910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/322, 678/351, 423/185 is 4301910.

LCM(810/322, 678/351, 423/185) = 4301910

LCM of 810/322, 678/351, 423/185

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 810/322,678/351,423/185

Given numbers are 810/322,678/351,423/185

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 810,678,423

Least Common Multiple of Numerators i.e. LCM of 810,678,423 is 4301910.

GCF of Denominators means GCF of 322,351,185 as per the given fractions.

GCF of 322,351,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,678,423

LCM of Fractions 810/322,678/351,423/185 is 4301910

2 810, 678, 423
3 405, 339, 423
3 135, 113, 141
45, 113, 47

∴ So the LCM of the given numbers is 2 x 3 x 3 x 45 x 113 x 47 = 4301910

Least Common Multiple of 810,678,423 with GCF Formula

Least Common Multiple of 810,678,423 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 810,678,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,678,423) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(810,678,423) x common factors =3 x 18 = 54

LCM(810,678,423) = ( 810 × 678 × 423 ) / 54

LCM(810,678,423) = 232303140 / 54

LCM(810,678,423) = 4301910


Lets's calculate GCF of 322,351,185

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4301910/1

Therefore the LCM of Fractions 810/322,678/351,423/185 is 4301910

Greatest Common Factor of 322,351,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,351,185 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 322,351,185 . The biggest common factor number is the GCF number.
So the greatest common factor 322,351,185 is 1.


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 810/322, 678/351, 423/185

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 810/322, 678/351, 423/185?

Answer: LCM of Numerators as per given numbers 810/322, 678/351, 423/185 is

LCM of Numerators i.e. for 810,678,423 is 4301910

GCF of denominators i.e. for 322,351,185 is 1.

Thus, LCM of Fractions is 4301910.Finally, LCM of Fractions for 810/322, 678/351, 423/185 is 4301910.