Least Common Multiple of 900/81, 511/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 900/81, 511/736 quickly i.e. 459900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/81, 511/736 is 459900.

LCM(900/81, 511/736) = 459900

LCM of 900/81, 511/736

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 900/81,511/736

Given numbers are 900/81,511/736

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 900,511

Least Common Multiple of Numerators i.e. LCM of 900,511 is 459900.

GCF of Denominators means GCF of 81,736 as per the given fractions.

GCF of 81,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,511

LCM of Fractions 900/81,511/736 is 459900

Given numbers has no common factors except 1. So, there LCM is their product i.e 459900

Least Common Multiple of 900,511 with GCF Formula

Least Common Multiple of 900,511 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 900,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,511) = 1

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

GCF(900,511) x common factors =1 x 1 = 1

LCM(900,511) = ( 900 × 511 ) / 1

LCM(900,511) = 459900 / 1

LCM(900,511) = 459900


Lets's calculate GCF of 81,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 459900/1

Therefore the LCM of Fractions 900/81,511/736 is 459900

Greatest Common Factor of 81,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,736 By Matching Biggest Common Factor Method

Factors of 81

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

1,3,9,27,81

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 81,736 . The biggest common factor number is the GCF number.
So the greatest common factor 81,736 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 900/81, 511/736

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 900/81, 511/736?

Answer: LCM of Numerators as per given numbers 900/81, 511/736 is

LCM of Numerators i.e. for 900,511 is 459900

GCF of denominators i.e. for 81,736 is 1.

Thus, LCM of Fractions is 459900.Finally, LCM of Fractions for 900/81, 511/736 is 459900.