Least Common Multiple of 17/530, 30/227, 104/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/530, 30/227, 104/705 quickly i.e. 26520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/530, 30/227, 104/705 is 26520.

LCM(17/530, 30/227, 104/705) = 26520

LCM of 17/530, 30/227, 104/705

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 17/530,30/227,104/705

Given numbers are 17/530,30/227,104/705

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 17,30,104

Least Common Multiple of Numerators i.e. LCM of 17,30,104 is 26520.

GCF of Denominators means GCF of 530,227,705 as per the given fractions.

GCF of 530,227,705 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,30,104

LCM of Fractions 17/530,30/227,104/705 is 26520

2 17, 30, 104
17, 15, 52

∴ So the LCM of the given numbers is 2 x 17 x 15 x 52 = 26520

Least Common Multiple of 17,30,104 with GCF Formula

Least Common Multiple of 17,30,104 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 17,30,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,30,104) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(17,30,104) x common factors =1 x 2 = 2

LCM(17,30,104) = ( 17 × 30 × 104 ) / 2

LCM(17,30,104) = 53040 / 2

LCM(17,30,104) = 26520


Lets's calculate GCF of 530,227,705

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26520/1

Therefore the LCM of Fractions 17/530,30/227,104/705 is 26520

Greatest Common Factor of 530,227,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,227,705 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 530,227,705 . The biggest common factor number is the GCF number.
So the greatest common factor 530,227,705 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 17/530, 30/227, 104/705

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 17/530, 30/227, 104/705?

Answer: LCM of Numerators as per given numbers 17/530, 30/227, 104/705 is

LCM of Numerators i.e. for 17,30,104 is 26520

GCF of denominators i.e. for 530,227,705 is 1.

Thus, LCM of Fractions is 26520.Finally, LCM of Fractions for 17/530, 30/227, 104/705 is 26520.