Least Common Multiple of 369/38, 107/78, 217/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/38, 107/78, 217/172 quickly i.e. 8567811/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/38, 107/78, 217/172 is 8567811/2.

LCM(369/38, 107/78, 217/172) = 8567811/2

LCM of 369/38, 107/78, 217/172

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 369/38,107/78,217/172

Given numbers are 369/38,107/78,217/172

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 369,107,217

Least Common Multiple of Numerators i.e. LCM of 369,107,217 is 8567811.

GCF of Denominators means GCF of 38,78,172 as per the given fractions.

GCF of 38,78,172 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,107,217

LCM of Fractions 369/38,107/78,217/172 is 8567811/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 8567811

Least Common Multiple of 369,107,217 with GCF Formula

Least Common Multiple of 369,107,217 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 369,107,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,107,217) = 1

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

GCF(369,107,217) x common factors =1 x 1 = 1

LCM(369,107,217) = ( 369 × 107 × 217 ) / 1

LCM(369,107,217) = 8567811 / 1

LCM(369,107,217) = 8567811


Lets's calculate GCF of 38,78,172

2 38, 78, 172
19, 39, 86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8567811/2

Therefore the LCM of Fractions 369/38,107/78,217/172 is 8567811/2

Greatest Common Factor of 38,78,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,78,172 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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 38,78,172 . The biggest common factor number is the GCF number.
So the greatest common factor 38,78,172 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 369/38, 107/78, 217/172

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 369/38, 107/78, 217/172?

Answer: LCM of Numerators as per given numbers 369/38, 107/78, 217/172 is

LCM of Numerators i.e. for 369,107,217 is 8567811

GCF of denominators i.e. for 38,78,172 is 2.

Thus, LCM of Fractions is 8567811/2.Finally, LCM of Fractions for 369/38, 107/78, 217/172 is 8567811/2.