Least Common Multiple of 536/22, 3243/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 536/22, 3243/120 quickly i.e. 869124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 536/22, 3243/120 is 869124.

LCM(536/22, 3243/120) = 869124

LCM of 536/22, 3243/120

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 536/22,3243/120

Given numbers are 536/22,3243/120

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 536,3243

Least Common Multiple of Numerators i.e. LCM of 536,3243 is 1738248.

GCF of Denominators means GCF of 22,120 as per the given fractions.

GCF of 22,120 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 536,3243

LCM of Fractions 536/22,3243/120 is 869124

Given numbers has no common factors except 1. So, there LCM is their product i.e 1738248

Least Common Multiple of 536,3243 with GCF Formula

Least Common Multiple of 536,3243 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 536,3243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,3243) = 1

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

GCF(536,3243) x common factors =1 x 1 = 1

LCM(536,3243) = ( 536 × 3243 ) / 1

LCM(536,3243) = 1738248 / 1

LCM(536,3243) = 1738248


Lets's calculate GCF of 22,120

2 22, 120
11, 60

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1738248/2

Therefore the LCM of Fractions 536/22,3243/120 is 869124

Greatest Common Factor of 22,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,120 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 22,120 . The biggest common factor number is the GCF number.
So the greatest common factor 22,120 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 536/22, 3243/120

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 536/22, 3243/120?

Answer: LCM of Numerators as per given numbers 536/22, 3243/120 is

LCM of Numerators i.e. for 536,3243 is 1738248

GCF of denominators i.e. for 22,120 is 2.

Thus, LCM of Fractions is 869124.Finally, LCM of Fractions for 536/22, 3243/120 is 869124.