Least Common Multiple of 823/814, 949/323, 398/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 823/814, 949/323, 398/743 quickly i.e. 310848746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 823/814, 949/323, 398/743 is 310848746.

LCM(823/814, 949/323, 398/743) = 310848746

LCM of 823/814, 949/323, 398/743

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 823/814,949/323,398/743

Given numbers are 823/814,949/323,398/743

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 823,949,398

Least Common Multiple of Numerators i.e. LCM of 823,949,398 is 310848746.

GCF of Denominators means GCF of 814,323,743 as per the given fractions.

GCF of 814,323,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 823,949,398

LCM of Fractions 823/814,949/323,398/743 is 310848746

Given numbers has no common factors except 1. So, there LCM is their product i.e 310848746

Least Common Multiple of 823,949,398 with GCF Formula

Least Common Multiple of 823,949,398 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 823,949,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,949,398) = 1

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

GCF(823,949,398) x common factors =1 x 1 = 1

LCM(823,949,398) = ( 823 × 949 × 398 ) / 1

LCM(823,949,398) = 310848746 / 1

LCM(823,949,398) = 310848746


Lets's calculate GCF of 814,323,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 310848746/1

Therefore the LCM of Fractions 823/814,949/323,398/743 is 310848746

Greatest Common Factor of 814,323,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,323,743 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 814,323,743 . The biggest common factor number is the GCF number.
So the greatest common factor 814,323,743 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 823/814, 949/323, 398/743

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 823/814, 949/323, 398/743?

Answer: LCM of Numerators as per given numbers 823/814, 949/323, 398/743 is

LCM of Numerators i.e. for 823,949,398 is 310848746

GCF of denominators i.e. for 814,323,743 is 1.

Thus, LCM of Fractions is 310848746.Finally, LCM of Fractions for 823/814, 949/323, 398/743 is 310848746.