Least Common Multiple of 71/542, 462/400, 546/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/542, 462/400, 546/387 quickly i.e. 426426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/542, 462/400, 546/387 is 426426.

LCM(71/542, 462/400, 546/387) = 426426

LCM of 71/542, 462/400, 546/387

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 71/542,462/400,546/387

Given numbers are 71/542,462/400,546/387

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 71,462,546

Least Common Multiple of Numerators i.e. LCM of 71,462,546 is 426426.

GCF of Denominators means GCF of 542,400,387 as per the given fractions.

GCF of 542,400,387 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,462,546

LCM of Fractions 71/542,462/400,546/387 is 426426

2 71, 462, 546
3 71, 231, 273
7 71, 77, 91
71, 11, 13

∴ So the LCM of the given numbers is 2 x 3 x 7 x 71 x 11 x 13 = 426426

Least Common Multiple of 71,462,546 with GCF Formula

Least Common Multiple of 71,462,546 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 71,462,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,462,546) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(71,462,546) x common factors =1 x 42 = 42

LCM(71,462,546) = ( 71 × 462 × 546 ) / 42

LCM(71,462,546) = 17909892 / 42

LCM(71,462,546) = 426426


Lets's calculate GCF of 542,400,387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 426426/1

Therefore the LCM of Fractions 71/542,462/400,546/387 is 426426

Greatest Common Factor of 542,400,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,400,387 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 542,400,387 . The biggest common factor number is the GCF number.
So the greatest common factor 542,400,387 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 71/542, 462/400, 546/387

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 71/542, 462/400, 546/387?

Answer: LCM of Numerators as per given numbers 71/542, 462/400, 546/387 is

LCM of Numerators i.e. for 71,462,546 is 426426

GCF of denominators i.e. for 542,400,387 is 1.

Thus, LCM of Fractions is 426426.Finally, LCM of Fractions for 71/542, 462/400, 546/387 is 426426.