Least Common Multiple of 71/202, 769/963, 364/443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/202, 769/963, 364/443 quickly i.e. 19874036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/202, 769/963, 364/443 is 19874036.

LCM(71/202, 769/963, 364/443) = 19874036

LCM of 71/202, 769/963, 364/443

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 71/202,769/963,364/443

Given numbers are 71/202,769/963,364/443

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 71,769,364

Least Common Multiple of Numerators i.e. LCM of 71,769,364 is 19874036.

GCF of Denominators means GCF of 202,963,443 as per the given fractions.

GCF of 202,963,443 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,769,364

LCM of Fractions 71/202,769/963,364/443 is 19874036

Given numbers has no common factors except 1. So, there LCM is their product i.e 19874036

Least Common Multiple of 71,769,364 with GCF Formula

Least Common Multiple of 71,769,364 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 71,769,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,769,364) = 1

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

GCF(71,769,364) x common factors =1 x 1 = 1

LCM(71,769,364) = ( 71 × 769 × 364 ) / 1

LCM(71,769,364) = 19874036 / 1

LCM(71,769,364) = 19874036


Lets's calculate GCF of 202,963,443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19874036/1

Therefore the LCM of Fractions 71/202,769/963,364/443 is 19874036

Greatest Common Factor of 202,963,443 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,963,443 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Greatest Common Factor

We found the factors 202,963,443 . The biggest common factor number is the GCF number.
So the greatest common factor 202,963,443 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 71/202, 769/963, 364/443

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 71/202, 769/963, 364/443?

Answer: LCM of Numerators as per given numbers 71/202, 769/963, 364/443 is

LCM of Numerators i.e. for 71,769,364 is 19874036

GCF of denominators i.e. for 202,963,443 is 1.

Thus, LCM of Fractions is 19874036.Finally, LCM of Fractions for 71/202, 769/963, 364/443 is 19874036.