Least Common Multiple of 27/730, 73/759, 955/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 27/730, 73/759, 955/736 quickly i.e. 1882305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/730, 73/759, 955/736 is 1882305.

LCM(27/730, 73/759, 955/736) = 1882305

LCM of 27/730, 73/759, 955/736

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 27/730,73/759,955/736

Given numbers are 27/730,73/759,955/736

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 27,73,955

Least Common Multiple of Numerators i.e. LCM of 27,73,955 is 1882305.

GCF of Denominators means GCF of 730,759,736 as per the given fractions.

GCF of 730,759,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,73,955

LCM of Fractions 27/730,73/759,955/736 is 1882305

Given numbers has no common factors except 1. So, there LCM is their product i.e 1882305

Least Common Multiple of 27,73,955 with GCF Formula

Least Common Multiple of 27,73,955 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 27,73,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,73,955) = 1

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

GCF(27,73,955) x common factors =1 x 1 = 1

LCM(27,73,955) = ( 27 × 73 × 955 ) / 1

LCM(27,73,955) = 1882305 / 1

LCM(27,73,955) = 1882305


Lets's calculate GCF of 730,759,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1882305/1

Therefore the LCM of Fractions 27/730,73/759,955/736 is 1882305

Greatest Common Factor of 730,759,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,759,736 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

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 730,759,736 . The biggest common factor number is the GCF number.
So the greatest common factor 730,759,736 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 27/730, 73/759, 955/736

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 27/730, 73/759, 955/736?

Answer: LCM of Numerators as per given numbers 27/730, 73/759, 955/736 is

LCM of Numerators i.e. for 27,73,955 is 1882305

GCF of denominators i.e. for 730,759,736 is 1.

Thus, LCM of Fractions is 1882305.Finally, LCM of Fractions for 27/730, 73/759, 955/736 is 1882305.