Least Common Multiple of 8505/733, 2822/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8505/733, 2822/240 quickly i.e. 24001110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8505/733, 2822/240 is 24001110.

LCM(8505/733, 2822/240) = 24001110

LCM of 8505/733, 2822/240

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 8505/733,2822/240

Given numbers are 8505/733,2822/240

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 8505,2822

Least Common Multiple of Numerators i.e. LCM of 8505,2822 is 24001110.

GCF of Denominators means GCF of 733,240 as per the given fractions.

GCF of 733,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8505,2822

LCM of Fractions 8505/733,2822/240 is 24001110

Given numbers has no common factors except 1. So, there LCM is their product i.e 24001110

Least Common Multiple of 8505,2822 with GCF Formula

Least Common Multiple of 8505,2822 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 8505,2822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8505,2822) = 1

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

GCF(8505,2822) x common factors =1 x 1 = 1

LCM(8505,2822) = ( 8505 × 2822 ) / 1

LCM(8505,2822) = 24001110 / 1

LCM(8505,2822) = 24001110


Lets's calculate GCF of 733,240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24001110/1

Therefore the LCM of Fractions 8505/733,2822/240 is 24001110

Greatest Common Factor of 733,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,240 By Matching Biggest Common Factor Method

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 733,240 . The biggest common factor number is the GCF number.
So the greatest common factor 733,240 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8505/733, 2822/240

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 8505/733, 2822/240?

Answer: LCM of Numerators as per given numbers 8505/733, 2822/240 is

LCM of Numerators i.e. for 8505,2822 is 24001110

GCF of denominators i.e. for 733,240 is 1.

Thus, LCM of Fractions is 24001110.Finally, LCM of Fractions for 8505/733, 2822/240 is 24001110.