Least Common Multiple of 165/385, 4245/1366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 165/385, 4245/1366 quickly i.e. 46695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/385, 4245/1366 is 46695.

LCM(165/385, 4245/1366) = 46695

LCM of 165/385, 4245/1366

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 165/385,4245/1366

Given numbers are 165/385,4245/1366

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 165,4245

Least Common Multiple of Numerators i.e. LCM of 165,4245 is 46695.

GCF of Denominators means GCF of 385,1366 as per the given fractions.

GCF of 385,1366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,4245

LCM of Fractions 165/385,4245/1366 is 46695

3 165, 4245
5 55, 1415
11, 283

∴ So the LCM of the given numbers is 3 x 5 x 11 x 283 = 46695

Least Common Multiple of 165,4245 with GCF Formula

Least Common Multiple of 165,4245 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 165,4245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,4245) = 15

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

GCF(165,4245) x common factors =15 x 1 = 15

LCM(165,4245) = ( 165 × 4245 ) / 15

LCM(165,4245) = 700425 / 15

LCM(165,4245) = 46695


Lets's calculate GCF of 385,1366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46695/1

Therefore the LCM of Fractions 165/385,4245/1366 is 46695

Greatest Common Factor of 385,1366 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,1366 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 1366

List of positive integer factors of 1366 that divides 1366 without a remainder.

1,2,683,1366

Greatest Common Factor

We found the factors 385,1366 . The biggest common factor number is the GCF number.
So the greatest common factor 385,1366 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 165/385, 4245/1366

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 165/385, 4245/1366?

Answer: LCM of Numerators as per given numbers 165/385, 4245/1366 is

LCM of Numerators i.e. for 165,4245 is 46695

GCF of denominators i.e. for 385,1366 is 1.

Thus, LCM of Fractions is 46695.Finally, LCM of Fractions for 165/385, 4245/1366 is 46695.