Least Common Multiple of 738/71, 711/27, 542/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 738/71, 711/27, 542/645 quickly i.e. 15799842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/71, 711/27, 542/645 is 15799842.

LCM(738/71, 711/27, 542/645) = 15799842

LCM of 738/71, 711/27, 542/645

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 738/71,711/27,542/645

Given numbers are 738/71,711/27,542/645

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 738,711,542

Least Common Multiple of Numerators i.e. LCM of 738,711,542 is 15799842.

GCF of Denominators means GCF of 71,27,645 as per the given fractions.

GCF of 71,27,645 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,711,542

LCM of Fractions 738/71,711/27,542/645 is 15799842

2 738, 711, 542
3 369, 711, 271
3 123, 237, 271
41, 79, 271

∴ So the LCM of the given numbers is 2 x 3 x 3 x 41 x 79 x 271 = 15799842

Least Common Multiple of 738,711,542 with GCF Formula

Least Common Multiple of 738,711,542 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 738,711,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,711,542) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(738,711,542) x common factors =1 x 18 = 18

LCM(738,711,542) = ( 738 × 711 × 542 ) / 18

LCM(738,711,542) = 284397156 / 18

LCM(738,711,542) = 15799842


Lets's calculate GCF of 71,27,645

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15799842/1

Therefore the LCM of Fractions 738/71,711/27,542/645 is 15799842

Greatest Common Factor of 71,27,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,27,645 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 71,27,645 . The biggest common factor number is the GCF number.
So the greatest common factor 71,27,645 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 738/71, 711/27, 542/645

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 738/71, 711/27, 542/645?

Answer: LCM of Numerators as per given numbers 738/71, 711/27, 542/645 is

LCM of Numerators i.e. for 738,711,542 is 15799842

GCF of denominators i.e. for 71,27,645 is 1.

Thus, LCM of Fractions is 15799842.Finally, LCM of Fractions for 738/71, 711/27, 542/645 is 15799842.