Least Common Multiple of 810/31, 322/82, 374/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/31, 322/82, 374/230 quickly i.e. 24386670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/31, 322/82, 374/230 is 24386670.

LCM(810/31, 322/82, 374/230) = 24386670

LCM of 810/31, 322/82, 374/230

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 810/31,322/82,374/230

Given numbers are 810/31,322/82,374/230

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 810,322,374

Least Common Multiple of Numerators i.e. LCM of 810,322,374 is 24386670.

GCF of Denominators means GCF of 31,82,230 as per the given fractions.

GCF of 31,82,230 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,322,374

LCM of Fractions 810/31,322/82,374/230 is 24386670

2 810, 322, 374
405, 161, 187

∴ So the LCM of the given numbers is 2 x 405 x 161 x 187 = 24386670

Least Common Multiple of 810,322,374 with GCF Formula

Least Common Multiple of 810,322,374 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 810,322,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,322,374) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(810,322,374) x common factors =2 x 2 = 4

LCM(810,322,374) = ( 810 × 322 × 374 ) / 4

LCM(810,322,374) = 97546680 / 4

LCM(810,322,374) = 24386670


Lets's calculate GCF of 31,82,230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24386670/1

Therefore the LCM of Fractions 810/31,322/82,374/230 is 24386670

Greatest Common Factor of 31,82,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,82,230 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 31,82,230 . The biggest common factor number is the GCF number.
So the greatest common factor 31,82,230 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 810/31, 322/82, 374/230

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 810/31, 322/82, 374/230?

Answer: LCM of Numerators as per given numbers 810/31, 322/82, 374/230 is

LCM of Numerators i.e. for 810,322,374 is 24386670

GCF of denominators i.e. for 31,82,230 is 1.

Thus, LCM of Fractions is 24386670.Finally, LCM of Fractions for 810/31, 322/82, 374/230 is 24386670.