Least Common Multiple of 727/23, 883/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 727/23, 883/765 quickly i.e. 641941 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 727/23, 883/765 is 641941.

LCM(727/23, 883/765) = 641941

LCM of 727/23, 883/765

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 727/23,883/765

Given numbers are 727/23,883/765

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 727,883

Least Common Multiple of Numerators i.e. LCM of 727,883 is 641941.

GCF of Denominators means GCF of 23,765 as per the given fractions.

GCF of 23,765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 727,883

LCM of Fractions 727/23,883/765 is 641941

Given numbers has no common factors except 1. So, there LCM is their product i.e 641941

Least Common Multiple of 727,883 with GCF Formula

Least Common Multiple of 727,883 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 727,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,883) = 1

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

GCF(727,883) x common factors =1 x 1 = 1

LCM(727,883) = ( 727 × 883 ) / 1

LCM(727,883) = 641941 / 1

LCM(727,883) = 641941


Lets's calculate GCF of 23,765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 641941/1

Therefore the LCM of Fractions 727/23,883/765 is 641941

Greatest Common Factor of 23,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,765 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 23,765 . The biggest common factor number is the GCF number.
So the greatest common factor 23,765 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 727/23, 883/765

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 727/23, 883/765?

Answer: LCM of Numerators as per given numbers 727/23, 883/765 is

LCM of Numerators i.e. for 727,883 is 641941

GCF of denominators i.e. for 23,765 is 1.

Thus, LCM of Fractions is 641941.Finally, LCM of Fractions for 727/23, 883/765 is 641941.