Least Common Multiple of 82/789, 194/195, 996/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/789, 194/195, 996/503 quickly i.e. 3961092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/789, 194/195, 996/503 is 3961092.

LCM(82/789, 194/195, 996/503) = 3961092

LCM of 82/789, 194/195, 996/503

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 82/789,194/195,996/503

Given numbers are 82/789,194/195,996/503

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 82,194,996

Least Common Multiple of Numerators i.e. LCM of 82,194,996 is 3961092.

GCF of Denominators means GCF of 789,195,503 as per the given fractions.

GCF of 789,195,503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,194,996

LCM of Fractions 82/789,194/195,996/503 is 3961092

2 82, 194, 996
41, 97, 498

∴ So the LCM of the given numbers is 2 x 41 x 97 x 498 = 3961092

Least Common Multiple of 82,194,996 with GCF Formula

Least Common Multiple of 82,194,996 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 82,194,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,194,996) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(82,194,996) x common factors =2 x 2 = 4

LCM(82,194,996) = ( 82 × 194 × 996 ) / 4

LCM(82,194,996) = 15844368 / 4

LCM(82,194,996) = 3961092


Lets's calculate GCF of 789,195,503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3961092/1

Therefore the LCM of Fractions 82/789,194/195,996/503 is 3961092

Greatest Common Factor of 789,195,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,195,503 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 789,195,503 . The biggest common factor number is the GCF number.
So the greatest common factor 789,195,503 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 82/789, 194/195, 996/503

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 82/789, 194/195, 996/503?

Answer: LCM of Numerators as per given numbers 82/789, 194/195, 996/503 is

LCM of Numerators i.e. for 82,194,996 is 3961092

GCF of denominators i.e. for 789,195,503 is 1.

Thus, LCM of Fractions is 3961092.Finally, LCM of Fractions for 82/789, 194/195, 996/503 is 3961092.