Least Common Multiple of 71/100, 59/204, 464/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/100, 59/204, 464/537 quickly i.e. 1943696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/100, 59/204, 464/537 is 1943696.

LCM(71/100, 59/204, 464/537) = 1943696

LCM of 71/100, 59/204, 464/537

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 71/100,59/204,464/537

Given numbers are 71/100,59/204,464/537

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 71,59,464

Least Common Multiple of Numerators i.e. LCM of 71,59,464 is 1943696.

GCF of Denominators means GCF of 100,204,537 as per the given fractions.

GCF of 100,204,537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,59,464

LCM of Fractions 71/100,59/204,464/537 is 1943696

Given numbers has no common factors except 1. So, there LCM is their product i.e 1943696

Least Common Multiple of 71,59,464 with GCF Formula

Least Common Multiple of 71,59,464 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 71,59,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,59,464) = 1

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

GCF(71,59,464) x common factors =1 x 1 = 1

LCM(71,59,464) = ( 71 × 59 × 464 ) / 1

LCM(71,59,464) = 1943696 / 1

LCM(71,59,464) = 1943696


Lets's calculate GCF of 100,204,537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1943696/1

Therefore the LCM of Fractions 71/100,59/204,464/537 is 1943696

Greatest Common Factor of 100,204,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,204,537 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 100,204,537 . The biggest common factor number is the GCF number.
So the greatest common factor 100,204,537 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 71/100, 59/204, 464/537

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 71/100, 59/204, 464/537?

Answer: LCM of Numerators as per given numbers 71/100, 59/204, 464/537 is

LCM of Numerators i.e. for 71,59,464 is 1943696

GCF of denominators i.e. for 100,204,537 is 1.

Thus, LCM of Fractions is 1943696.Finally, LCM of Fractions for 71/100, 59/204, 464/537 is 1943696.