Least Common Multiple of 438/110, 823/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/110, 823/802 quickly i.e. 180237 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/110, 823/802 is 180237.

LCM(438/110, 823/802) = 180237

LCM of 438/110, 823/802

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 438/110,823/802

Given numbers are 438/110,823/802

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 438,823

Least Common Multiple of Numerators i.e. LCM of 438,823 is 360474.

GCF of Denominators means GCF of 110,802 as per the given fractions.

GCF of 110,802 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,823

LCM of Fractions 438/110,823/802 is 180237

Given numbers has no common factors except 1. So, there LCM is their product i.e 360474

Least Common Multiple of 438,823 with GCF Formula

Least Common Multiple of 438,823 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 438,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,823) = 1

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

GCF(438,823) x common factors =1 x 1 = 1

LCM(438,823) = ( 438 × 823 ) / 1

LCM(438,823) = 360474 / 1

LCM(438,823) = 360474


Lets's calculate GCF of 110,802

2 110, 802
55, 401

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360474/2

Therefore the LCM of Fractions 438/110,823/802 is 180237

Greatest Common Factor of 110,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,802 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 110,802 . The biggest common factor number is the GCF number.
So the greatest common factor 110,802 is 2.


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 438/110, 823/802

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 438/110, 823/802?

Answer: LCM of Numerators as per given numbers 438/110, 823/802 is

LCM of Numerators i.e. for 438,823 is 360474

GCF of denominators i.e. for 110,802 is 2.

Thus, LCM of Fractions is 180237.Finally, LCM of Fractions for 438/110, 823/802 is 180237.