Least Common Multiple of 71/611, 18/113, 198/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/611, 18/113, 198/523 quickly i.e. 14058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/611, 18/113, 198/523 is 14058.

LCM(71/611, 18/113, 198/523) = 14058

LCM of 71/611, 18/113, 198/523

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 71/611,18/113,198/523

Given numbers are 71/611,18/113,198/523

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 71,18,198

Least Common Multiple of Numerators i.e. LCM of 71,18,198 is 14058.

GCF of Denominators means GCF of 611,113,523 as per the given fractions.

GCF of 611,113,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,18,198

LCM of Fractions 71/611,18/113,198/523 is 14058

2 71, 18, 198
3 71, 9, 99
3 71, 3, 33
71, 1, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 71 x 1 x 11 = 14058

Least Common Multiple of 71,18,198 with GCF Formula

Least Common Multiple of 71,18,198 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 71,18,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,18,198) = 1

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

GCF(71,18,198) x common factors =1 x 18 = 18

LCM(71,18,198) = ( 71 × 18 × 198 ) / 18

LCM(71,18,198) = 253044 / 18

LCM(71,18,198) = 14058


Lets's calculate GCF of 611,113,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14058/1

Therefore the LCM of Fractions 71/611,18/113,198/523 is 14058

Greatest Common Factor of 611,113,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,113,523 By Matching Biggest Common Factor Method

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 611,113,523 . The biggest common factor number is the GCF number.
So the greatest common factor 611,113,523 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 71/611, 18/113, 198/523

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 71/611, 18/113, 198/523?

Answer: LCM of Numerators as per given numbers 71/611, 18/113, 198/523 is

LCM of Numerators i.e. for 71,18,198 is 14058

GCF of denominators i.e. for 611,113,523 is 1.

Thus, LCM of Fractions is 14058.Finally, LCM of Fractions for 71/611, 18/113, 198/523 is 14058.