Least Common Multiple of 574/57, 786/81, 737/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 574/57, 786/81, 737/827 quickly i.e. 166253934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 574/57, 786/81, 737/827 is 166253934.

LCM(574/57, 786/81, 737/827) = 166253934

LCM of 574/57, 786/81, 737/827

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 574/57,786/81,737/827

Given numbers are 574/57,786/81,737/827

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 574,786,737

Least Common Multiple of Numerators i.e. LCM of 574,786,737 is 166253934.

GCF of Denominators means GCF of 57,81,827 as per the given fractions.

GCF of 57,81,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 574,786,737

LCM of Fractions 574/57,786/81,737/827 is 166253934

2 574, 786, 737
287, 393, 737

∴ So the LCM of the given numbers is 2 x 287 x 393 x 737 = 166253934

Least Common Multiple of 574,786,737 with GCF Formula

Least Common Multiple of 574,786,737 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 574,786,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,786,737) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(574,786,737) x common factors =1 x 2 = 2

LCM(574,786,737) = ( 574 × 786 × 737 ) / 2

LCM(574,786,737) = 332507868 / 2

LCM(574,786,737) = 166253934


Lets's calculate GCF of 57,81,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166253934/1

Therefore the LCM of Fractions 574/57,786/81,737/827 is 166253934

Greatest Common Factor of 57,81,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,81,827 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 81

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

1,3,9,27,81

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 57,81,827 . The biggest common factor number is the GCF number.
So the greatest common factor 57,81,827 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 574/57, 786/81, 737/827

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 574/57, 786/81, 737/827?

Answer: LCM of Numerators as per given numbers 574/57, 786/81, 737/827 is

LCM of Numerators i.e. for 574,786,737 is 166253934

GCF of denominators i.e. for 57,81,827 is 1.

Thus, LCM of Fractions is 166253934.Finally, LCM of Fractions for 574/57, 786/81, 737/827 is 166253934.