Least Common Multiple of 242/63, 991/82, 817/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 242/63, 991/82, 817/523 quickly i.e. 195934574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 242/63, 991/82, 817/523 is 195934574.

LCM(242/63, 991/82, 817/523) = 195934574

LCM of 242/63, 991/82, 817/523

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 242/63,991/82,817/523

Given numbers are 242/63,991/82,817/523

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 242,991,817

Least Common Multiple of Numerators i.e. LCM of 242,991,817 is 195934574.

GCF of Denominators means GCF of 63,82,523 as per the given fractions.

GCF of 63,82,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 242,991,817

LCM of Fractions 242/63,991/82,817/523 is 195934574

Given numbers has no common factors except 1. So, there LCM is their product i.e 195934574

Least Common Multiple of 242,991,817 with GCF Formula

Least Common Multiple of 242,991,817 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 242,991,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,991,817) = 1

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

GCF(242,991,817) x common factors =1 x 1 = 1

LCM(242,991,817) = ( 242 × 991 × 817 ) / 1

LCM(242,991,817) = 195934574 / 1

LCM(242,991,817) = 195934574


Lets's calculate GCF of 63,82,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195934574/1

Therefore the LCM of Fractions 242/63,991/82,817/523 is 195934574

Greatest Common Factor of 63,82,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,82,523 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

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 63,82,523 . The biggest common factor number is the GCF number.
So the greatest common factor 63,82,523 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 242/63, 991/82, 817/523

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 242/63, 991/82, 817/523?

Answer: LCM of Numerators as per given numbers 242/63, 991/82, 817/523 is

LCM of Numerators i.e. for 242,991,817 is 195934574

GCF of denominators i.e. for 63,82,523 is 1.

Thus, LCM of Fractions is 195934574.Finally, LCM of Fractions for 242/63, 991/82, 817/523 is 195934574.