Least Common Multiple of 365/164, 345/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 365/164, 345/997 quickly i.e. 25185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 365/164, 345/997 is 25185.

LCM(365/164, 345/997) = 25185

LCM of 365/164, 345/997

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 365/164,345/997

Given numbers are 365/164,345/997

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 365,345

Least Common Multiple of Numerators i.e. LCM of 365,345 is 25185.

GCF of Denominators means GCF of 164,997 as per the given fractions.

GCF of 164,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 365,345

LCM of Fractions 365/164,345/997 is 25185

5 365, 345
73, 69

∴ So the LCM of the given numbers is 5 x 73 x 69 = 25185

Least Common Multiple of 365,345 with GCF Formula

Least Common Multiple of 365,345 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 365,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,345) = 5

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

GCF(365,345) x common factors =5 x 1 = 5

LCM(365,345) = ( 365 × 345 ) / 5

LCM(365,345) = 125925 / 5

LCM(365,345) = 25185


Lets's calculate GCF of 164,997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25185/1

Therefore the LCM of Fractions 365/164,345/997 is 25185

Greatest Common Factor of 164,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,997 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 164,997 . The biggest common factor number is the GCF number.
So the greatest common factor 164,997 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 365/164, 345/997

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 365/164, 345/997?

Answer: LCM of Numerators as per given numbers 365/164, 345/997 is

LCM of Numerators i.e. for 365,345 is 25185

GCF of denominators i.e. for 164,997 is 1.

Thus, LCM of Fractions is 25185.Finally, LCM of Fractions for 365/164, 345/997 is 25185.