Least Common Multiple of 585/928, 442/152, 170/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/928, 442/152, 170/574 quickly i.e. 9945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/928, 442/152, 170/574 is 9945.

LCM(585/928, 442/152, 170/574) = 9945

LCM of 585/928, 442/152, 170/574

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 585/928,442/152,170/574

Given numbers are 585/928,442/152,170/574

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 585,442,170

Least Common Multiple of Numerators i.e. LCM of 585,442,170 is 19890.

GCF of Denominators means GCF of 928,152,574 as per the given fractions.

GCF of 928,152,574 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,442,170

LCM of Fractions 585/928,442/152,170/574 is 9945

2 585, 442, 170
5 585, 221, 85
13 117, 221, 17
17 9, 17, 17
9, 1, 1

∴ So the LCM of the given numbers is 2 x 5 x 13 x 17 x 9 x 1 x 1 = 19890

Least Common Multiple of 585,442,170 with GCF Formula

Least Common Multiple of 585,442,170 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 585,442,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,442,170) = 1

common factors(in case of two or more numbers have common factors) = 2210

GCF(585,442,170) x common factors =1 x 2210 = 2210

LCM(585,442,170) = ( 585 × 442 × 170 ) / 2210

LCM(585,442,170) = 43956900 / 2210

LCM(585,442,170) = 19890


Lets's calculate GCF of 928,152,574

2 928, 152, 574
464, 76, 287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19890/2

Therefore the LCM of Fractions 585/928,442/152,170/574 is 9945

Greatest Common Factor of 928,152,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,152,574 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 928,152,574 . The biggest common factor number is the GCF number.
So the greatest common factor 928,152,574 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 585/928, 442/152, 170/574

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 585/928, 442/152, 170/574?

Answer: LCM of Numerators as per given numbers 585/928, 442/152, 170/574 is

LCM of Numerators i.e. for 585,442,170 is 19890

GCF of denominators i.e. for 928,152,574 is 2.

Thus, LCM of Fractions is 9945.Finally, LCM of Fractions for 585/928, 442/152, 170/574 is 9945.