Least Common Multiple of 323/822, 1948/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 323/822, 1948/426 quickly i.e. 629204/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 323/822, 1948/426 is 629204/6.

LCM(323/822, 1948/426) = 629204/6

LCM of 323/822, 1948/426

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 323/822,1948/426

Given numbers are 323/822,1948/426

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 323,1948

Least Common Multiple of Numerators i.e. LCM of 323,1948 is 629204.

GCF of Denominators means GCF of 822,426 as per the given fractions.

GCF of 822,426 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 323,1948

LCM of Fractions 323/822,1948/426 is 629204/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 629204

Least Common Multiple of 323,1948 with GCF Formula

Least Common Multiple of 323,1948 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 323,1948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,1948) = 1

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

GCF(323,1948) x common factors =1 x 1 = 1

LCM(323,1948) = ( 323 × 1948 ) / 1

LCM(323,1948) = 629204 / 1

LCM(323,1948) = 629204


Lets's calculate GCF of 822,426

2 822, 426
3 411, 213
137, 71

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 629204/6

Therefore the LCM of Fractions 323/822,1948/426 is 629204/6

Greatest Common Factor of 822,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,426 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 822,426 . The biggest common factor number is the GCF number.
So the greatest common factor 822,426 is 6.


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 323/822, 1948/426

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 323/822, 1948/426?

Answer: LCM of Numerators as per given numbers 323/822, 1948/426 is

LCM of Numerators i.e. for 323,1948 is 629204

GCF of denominators i.e. for 822,426 is 6.

Thus, LCM of Fractions is 629204/6.Finally, LCM of Fractions for 323/822, 1948/426 is 629204/6.