Least Common Multiple of 562/823, 834/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 562/823, 834/956 quickly i.e. 234354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 562/823, 834/956 is 234354.

LCM(562/823, 834/956) = 234354

LCM of 562/823, 834/956

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 562/823,834/956

Given numbers are 562/823,834/956

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 562,834

Least Common Multiple of Numerators i.e. LCM of 562,834 is 234354.

GCF of Denominators means GCF of 823,956 as per the given fractions.

GCF of 823,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 562,834

LCM of Fractions 562/823,834/956 is 234354

2 562, 834
281, 417

∴ So the LCM of the given numbers is 2 x 281 x 417 = 234354

Least Common Multiple of 562,834 with GCF Formula

Least Common Multiple of 562,834 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 562,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,834) = 2

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

GCF(562,834) x common factors =2 x 1 = 2

LCM(562,834) = ( 562 × 834 ) / 2

LCM(562,834) = 468708 / 2

LCM(562,834) = 234354


Lets's calculate GCF of 823,956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234354/1

Therefore the LCM of Fractions 562/823,834/956 is 234354

Greatest Common Factor of 823,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,956 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 823,956 . The biggest common factor number is the GCF number.
So the greatest common factor 823,956 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 562/823, 834/956

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 562/823, 834/956?

Answer: LCM of Numerators as per given numbers 562/823, 834/956 is

LCM of Numerators i.e. for 562,834 is 234354

GCF of denominators i.e. for 823,956 is 1.

Thus, LCM of Fractions is 234354.Finally, LCM of Fractions for 562/823, 834/956 is 234354.