Least Common Multiple of 7068/232, 6755/3300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7068/232, 6755/3300 quickly i.e. 11936085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7068/232, 6755/3300 is 11936085.

LCM(7068/232, 6755/3300) = 11936085

LCM of 7068/232, 6755/3300

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 7068/232,6755/3300

Given numbers are 7068/232,6755/3300

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 7068,6755

Least Common Multiple of Numerators i.e. LCM of 7068,6755 is 47744340.

GCF of Denominators means GCF of 232,3300 as per the given fractions.

GCF of 232,3300 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7068,6755

LCM of Fractions 7068/232,6755/3300 is 11936085

Given numbers has no common factors except 1. So, there LCM is their product i.e 47744340

Least Common Multiple of 7068,6755 with GCF Formula

Least Common Multiple of 7068,6755 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 7068,6755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7068,6755) = 1

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

GCF(7068,6755) x common factors =1 x 1 = 1

LCM(7068,6755) = ( 7068 × 6755 ) / 1

LCM(7068,6755) = 47744340 / 1

LCM(7068,6755) = 47744340


Lets's calculate GCF of 232,3300

2 232, 3300
2 116, 1650
58, 825

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47744340/4

Therefore the LCM of Fractions 7068/232,6755/3300 is 11936085

Greatest Common Factor of 232,3300 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,3300 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 3300

List of positive integer factors of 3300 that divides 3300 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,25,30,33,44,50,55,60,66,75,100,110,132,150,165,220,275,300,330,550,660,825,1100,1650,3300

Greatest Common Factor

We found the factors 232,3300 . The biggest common factor number is the GCF number.
So the greatest common factor 232,3300 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 7068/232, 6755/3300

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 7068/232, 6755/3300?

Answer: LCM of Numerators as per given numbers 7068/232, 6755/3300 is

LCM of Numerators i.e. for 7068,6755 is 47744340

GCF of denominators i.e. for 232,3300 is 4.

Thus, LCM of Fractions is 11936085.Finally, LCM of Fractions for 7068/232, 6755/3300 is 11936085.