Least Common Multiple of 585/28, 296/34, 165/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/28, 296/34, 165/74 quickly i.e. 952380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/28, 296/34, 165/74 is 952380.

LCM(585/28, 296/34, 165/74) = 952380

LCM of 585/28, 296/34, 165/74

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 585/28,296/34,165/74

Given numbers are 585/28,296/34,165/74

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 585,296,165

Least Common Multiple of Numerators i.e. LCM of 585,296,165 is 1904760.

GCF of Denominators means GCF of 28,34,74 as per the given fractions.

GCF of 28,34,74 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,296,165

LCM of Fractions 585/28,296/34,165/74 is 952380

3 585, 296, 165
5 195, 296, 55
39, 296, 11

∴ So the LCM of the given numbers is 3 x 5 x 39 x 296 x 11 = 1904760

Least Common Multiple of 585,296,165 with GCF Formula

Least Common Multiple of 585,296,165 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 585,296,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,296,165) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(585,296,165) x common factors =1 x 15 = 15

LCM(585,296,165) = ( 585 × 296 × 165 ) / 15

LCM(585,296,165) = 28571400 / 15

LCM(585,296,165) = 1904760


Lets's calculate GCF of 28,34,74

2 28, 34, 74
14, 17, 37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1904760/2

Therefore the LCM of Fractions 585/28,296/34,165/74 is 952380

Greatest Common Factor of 28,34,74 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,34,74 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Greatest Common Factor

We found the factors 28,34,74 . The biggest common factor number is the GCF number.
So the greatest common factor 28,34,74 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 585/28, 296/34, 165/74

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 585/28, 296/34, 165/74?

Answer: LCM of Numerators as per given numbers 585/28, 296/34, 165/74 is

LCM of Numerators i.e. for 585,296,165 is 1904760

GCF of denominators i.e. for 28,34,74 is 2.

Thus, LCM of Fractions is 952380.Finally, LCM of Fractions for 585/28, 296/34, 165/74 is 952380.