Least Common Multiple of 81/361, 52/873, 385/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/361, 52/873, 385/194 quickly i.e. 1621620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/361, 52/873, 385/194 is 1621620.

LCM(81/361, 52/873, 385/194) = 1621620

LCM of 81/361, 52/873, 385/194

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 81/361,52/873,385/194

Given numbers are 81/361,52/873,385/194

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 81,52,385

Least Common Multiple of Numerators i.e. LCM of 81,52,385 is 1621620.

GCF of Denominators means GCF of 361,873,194 as per the given fractions.

GCF of 361,873,194 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,52,385

LCM of Fractions 81/361,52/873,385/194 is 1621620

Given numbers has no common factors except 1. So, there LCM is their product i.e 1621620

Least Common Multiple of 81,52,385 with GCF Formula

Least Common Multiple of 81,52,385 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 81,52,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,52,385) = 1

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

GCF(81,52,385) x common factors =1 x 1 = 1

LCM(81,52,385) = ( 81 × 52 × 385 ) / 1

LCM(81,52,385) = 1621620 / 1

LCM(81,52,385) = 1621620


Lets's calculate GCF of 361,873,194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1621620/1

Therefore the LCM of Fractions 81/361,52/873,385/194 is 1621620

Greatest Common Factor of 361,873,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,873,194 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 361,873,194 . The biggest common factor number is the GCF number.
So the greatest common factor 361,873,194 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 81/361, 52/873, 385/194

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 81/361, 52/873, 385/194?

Answer: LCM of Numerators as per given numbers 81/361, 52/873, 385/194 is

LCM of Numerators i.e. for 81,52,385 is 1621620

GCF of denominators i.e. for 361,873,194 is 1.

Thus, LCM of Fractions is 1621620.Finally, LCM of Fractions for 81/361, 52/873, 385/194 is 1621620.