Least Common Multiple of 173/38, 379/3640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 173/38, 379/3640 quickly i.e. 65567/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 173/38, 379/3640 is 65567/2.

LCM(173/38, 379/3640) = 65567/2

LCM of 173/38, 379/3640

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 173/38,379/3640

Given numbers are 173/38,379/3640

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 173,379

Least Common Multiple of Numerators i.e. LCM of 173,379 is 65567.

GCF of Denominators means GCF of 38,3640 as per the given fractions.

GCF of 38,3640 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 173,379

LCM of Fractions 173/38,379/3640 is 65567/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 65567

Least Common Multiple of 173,379 with GCF Formula

Least Common Multiple of 173,379 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 173,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,379) = 1

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

GCF(173,379) x common factors =1 x 1 = 1

LCM(173,379) = ( 173 × 379 ) / 1

LCM(173,379) = 65567 / 1

LCM(173,379) = 65567


Lets's calculate GCF of 38,3640

2 38, 3640
19, 1820

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65567/2

Therefore the LCM of Fractions 173/38,379/3640 is 65567/2

Greatest Common Factor of 38,3640 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,3640 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 3640

List of positive integer factors of 3640 that divides 3640 without a remainder.

1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640

Greatest Common Factor

We found the factors 38,3640 . The biggest common factor number is the GCF number.
So the greatest common factor 38,3640 is 2.


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 173/38, 379/3640

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 173/38, 379/3640?

Answer: LCM of Numerators as per given numbers 173/38, 379/3640 is

LCM of Numerators i.e. for 173,379 is 65567

GCF of denominators i.e. for 38,3640 is 2.

Thus, LCM of Fractions is 65567/2.Finally, LCM of Fractions for 173/38, 379/3640 is 65567/2.