Least Common Multiple of 74/65, 273/94, 527/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 74/65, 273/94, 527/809 quickly i.e. 10646454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/65, 273/94, 527/809 is 10646454.

LCM(74/65, 273/94, 527/809) = 10646454

LCM of 74/65, 273/94, 527/809

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 74/65,273/94,527/809

Given numbers are 74/65,273/94,527/809

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 74,273,527

Least Common Multiple of Numerators i.e. LCM of 74,273,527 is 10646454.

GCF of Denominators means GCF of 65,94,809 as per the given fractions.

GCF of 65,94,809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,273,527

LCM of Fractions 74/65,273/94,527/809 is 10646454

Given numbers has no common factors except 1. So, there LCM is their product i.e 10646454

Least Common Multiple of 74,273,527 with GCF Formula

Least Common Multiple of 74,273,527 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 74,273,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,273,527) = 1

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

GCF(74,273,527) x common factors =1 x 1 = 1

LCM(74,273,527) = ( 74 × 273 × 527 ) / 1

LCM(74,273,527) = 10646454 / 1

LCM(74,273,527) = 10646454


Lets's calculate GCF of 65,94,809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10646454/1

Therefore the LCM of Fractions 74/65,273/94,527/809 is 10646454

Greatest Common Factor of 65,94,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,94,809 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 65,94,809 . The biggest common factor number is the GCF number.
So the greatest common factor 65,94,809 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 74/65, 273/94, 527/809

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 74/65, 273/94, 527/809?

Answer: LCM of Numerators as per given numbers 74/65, 273/94, 527/809 is

LCM of Numerators i.e. for 74,273,527 is 10646454

GCF of denominators i.e. for 65,94,809 is 1.

Thus, LCM of Fractions is 10646454.Finally, LCM of Fractions for 74/65, 273/94, 527/809 is 10646454.