Least Common Multiple of 33/22, 440/72, 911/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 33/22, 440/72, 911/969 quickly i.e. 1202520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/22, 440/72, 911/969 is 1202520.

LCM(33/22, 440/72, 911/969) = 1202520

LCM of 33/22, 440/72, 911/969

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 33/22,440/72,911/969

Given numbers are 33/22,440/72,911/969

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 33,440,911

Least Common Multiple of Numerators i.e. LCM of 33,440,911 is 1202520.

GCF of Denominators means GCF of 22,72,969 as per the given fractions.

GCF of 22,72,969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,440,911

LCM of Fractions 33/22,440/72,911/969 is 1202520

11 33, 440, 911
3, 40, 911

∴ So the LCM of the given numbers is 11 x 3 x 40 x 911 = 1202520

Least Common Multiple of 33,440,911 with GCF Formula

Least Common Multiple of 33,440,911 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 33,440,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,440,911) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(33,440,911) x common factors =1 x 11 = 11

LCM(33,440,911) = ( 33 × 440 × 911 ) / 11

LCM(33,440,911) = 13227720 / 11

LCM(33,440,911) = 1202520


Lets's calculate GCF of 22,72,969

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1202520/1

Therefore the LCM of Fractions 33/22,440/72,911/969 is 1202520

Greatest Common Factor of 22,72,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,72,969 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 22,72,969 . The biggest common factor number is the GCF number.
So the greatest common factor 22,72,969 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 33/22, 440/72, 911/969

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 33/22, 440/72, 911/969?

Answer: LCM of Numerators as per given numbers 33/22, 440/72, 911/969 is

LCM of Numerators i.e. for 33,440,911 is 1202520

GCF of denominators i.e. for 22,72,969 is 1.

Thus, LCM of Fractions is 1202520.Finally, LCM of Fractions for 33/22, 440/72, 911/969 is 1202520.