Least Common Multiple of 551/33, 427/81, 509/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 551/33, 427/81, 509/733 quickly i.e. 119755993 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 551/33, 427/81, 509/733 is 119755993.

LCM(551/33, 427/81, 509/733) = 119755993

LCM of 551/33, 427/81, 509/733

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 551/33,427/81,509/733

Given numbers are 551/33,427/81,509/733

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 551,427,509

Least Common Multiple of Numerators i.e. LCM of 551,427,509 is 119755993.

GCF of Denominators means GCF of 33,81,733 as per the given fractions.

GCF of 33,81,733 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 551,427,509

LCM of Fractions 551/33,427/81,509/733 is 119755993

Given numbers has no common factors except 1. So, there LCM is their product i.e 119755993

Least Common Multiple of 551,427,509 with GCF Formula

Least Common Multiple of 551,427,509 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 551,427,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(551,427,509) = 1

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

GCF(551,427,509) x common factors =1 x 1 = 1

LCM(551,427,509) = ( 551 × 427 × 509 ) / 1

LCM(551,427,509) = 119755993 / 1

LCM(551,427,509) = 119755993


Lets's calculate GCF of 33,81,733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119755993/1

Therefore the LCM of Fractions 551/33,427/81,509/733 is 119755993

Greatest Common Factor of 33,81,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,81,733 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 733

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

1,733

Greatest Common Factor

We found the factors 33,81,733 . The biggest common factor number is the GCF number.
So the greatest common factor 33,81,733 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 551/33, 427/81, 509/733

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 551/33, 427/81, 509/733?

Answer: LCM of Numerators as per given numbers 551/33, 427/81, 509/733 is

LCM of Numerators i.e. for 551,427,509 is 119755993

GCF of denominators i.e. for 33,81,733 is 1.

Thus, LCM of Fractions is 119755993.Finally, LCM of Fractions for 551/33, 427/81, 509/733 is 119755993.