Least Common Multiple of 360/369, 628/288, 185/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/369, 628/288, 185/438 quickly i.e. 697080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/369, 628/288, 185/438 is 697080.

LCM(360/369, 628/288, 185/438) = 697080

LCM of 360/369, 628/288, 185/438

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 360/369,628/288,185/438

Given numbers are 360/369,628/288,185/438

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 360,628,185

Least Common Multiple of Numerators i.e. LCM of 360,628,185 is 2091240.

GCF of Denominators means GCF of 369,288,438 as per the given fractions.

GCF of 369,288,438 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,628,185

LCM of Fractions 360/369,628/288,185/438 is 697080

2 360, 628, 185
2 180, 314, 185
5 90, 157, 185
18, 157, 37

∴ So the LCM of the given numbers is 2 x 2 x 5 x 18 x 157 x 37 = 2091240

Least Common Multiple of 360,628,185 with GCF Formula

Least Common Multiple of 360,628,185 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 360,628,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,628,185) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(360,628,185) x common factors =1 x 20 = 20

LCM(360,628,185) = ( 360 × 628 × 185 ) / 20

LCM(360,628,185) = 41824800 / 20

LCM(360,628,185) = 2091240


Lets's calculate GCF of 369,288,438

3 369, 288, 438
123, 96, 146

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2091240/3

Therefore the LCM of Fractions 360/369,628/288,185/438 is 697080

Greatest Common Factor of 369,288,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,288,438 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 369,288,438 . The biggest common factor number is the GCF number.
So the greatest common factor 369,288,438 is 3.


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 360/369, 628/288, 185/438

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 360/369, 628/288, 185/438?

Answer: LCM of Numerators as per given numbers 360/369, 628/288, 185/438 is

LCM of Numerators i.e. for 360,628,185 is 2091240

GCF of denominators i.e. for 369,288,438 is 3.

Thus, LCM of Fractions is 697080.Finally, LCM of Fractions for 360/369, 628/288, 185/438 is 697080.