Least Common Multiple of 369/17, 945/8174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/17, 945/8174 quickly i.e. 38745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/17, 945/8174 is 38745.

LCM(369/17, 945/8174) = 38745

LCM of 369/17, 945/8174

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 369/17,945/8174

Given numbers are 369/17,945/8174

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 369,945

Least Common Multiple of Numerators i.e. LCM of 369,945 is 38745.

GCF of Denominators means GCF of 17,8174 as per the given fractions.

GCF of 17,8174 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,945

LCM of Fractions 369/17,945/8174 is 38745

3 369, 945
3 123, 315
41, 105

∴ So the LCM of the given numbers is 3 x 3 x 41 x 105 = 38745

Least Common Multiple of 369,945 with GCF Formula

Least Common Multiple of 369,945 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 369,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,945) = 9

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

GCF(369,945) x common factors =9 x 1 = 9

LCM(369,945) = ( 369 × 945 ) / 9

LCM(369,945) = 348705 / 9

LCM(369,945) = 38745


Lets's calculate GCF of 17,8174

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38745/1

Therefore the LCM of Fractions 369/17,945/8174 is 38745

Greatest Common Factor of 17,8174 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,8174 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 8174

List of positive integer factors of 8174 that divides 8174 without a remainder.

1,2,61,67,122,134,4087,8174

Greatest Common Factor

We found the factors 17,8174 . The biggest common factor number is the GCF number.
So the greatest common factor 17,8174 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 369/17, 945/8174

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 369/17, 945/8174?

Answer: LCM of Numerators as per given numbers 369/17, 945/8174 is

LCM of Numerators i.e. for 369,945 is 38745

GCF of denominators i.e. for 17,8174 is 1.

Thus, LCM of Fractions is 38745.Finally, LCM of Fractions for 369/17, 945/8174 is 38745.