Least Common Multiple of 234/533, 1923/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/533, 1923/822 quickly i.e. 149994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/533, 1923/822 is 149994.

LCM(234/533, 1923/822) = 149994

LCM of 234/533, 1923/822

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 234/533,1923/822

Given numbers are 234/533,1923/822

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 234,1923

Least Common Multiple of Numerators i.e. LCM of 234,1923 is 149994.

GCF of Denominators means GCF of 533,822 as per the given fractions.

GCF of 533,822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,1923

LCM of Fractions 234/533,1923/822 is 149994

3 234, 1923
78, 641

∴ So the LCM of the given numbers is 3 x 78 x 641 = 149994

Least Common Multiple of 234,1923 with GCF Formula

Least Common Multiple of 234,1923 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 234,1923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,1923) = 3

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

GCF(234,1923) x common factors =3 x 1 = 3

LCM(234,1923) = ( 234 × 1923 ) / 3

LCM(234,1923) = 449982 / 3

LCM(234,1923) = 149994


Lets's calculate GCF of 533,822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149994/1

Therefore the LCM of Fractions 234/533,1923/822 is 149994

Greatest Common Factor of 533,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,822 By Matching Biggest Common Factor Method

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 822

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

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

Greatest Common Factor

We found the factors 533,822 . The biggest common factor number is the GCF number.
So the greatest common factor 533,822 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 234/533, 1923/822

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 234/533, 1923/822?

Answer: LCM of Numerators as per given numbers 234/533, 1923/822 is

LCM of Numerators i.e. for 234,1923 is 149994

GCF of denominators i.e. for 533,822 is 1.

Thus, LCM of Fractions is 149994.Finally, LCM of Fractions for 234/533, 1923/822 is 149994.