Least Common Multiple of 6/42, 38/530, 29/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/42, 38/530, 29/705 quickly i.e. 3306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/42, 38/530, 29/705 is 3306.

LCM(6/42, 38/530, 29/705) = 3306

LCM of 6/42, 38/530, 29/705

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 6/42,38/530,29/705

Given numbers are 6/42,38/530,29/705

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 6,38,29

Least Common Multiple of Numerators i.e. LCM of 6,38,29 is 3306.

GCF of Denominators means GCF of 42,530,705 as per the given fractions.

GCF of 42,530,705 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,38,29

LCM of Fractions 6/42,38/530,29/705 is 3306

2 6, 38, 29
3, 19, 29

∴ So the LCM of the given numbers is 2 x 3 x 19 x 29 = 3306

Least Common Multiple of 6,38,29 with GCF Formula

Least Common Multiple of 6,38,29 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 6,38,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,38,29) = 1

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

GCF(6,38,29) x common factors =1 x 2 = 2

LCM(6,38,29) = ( 6 × 38 × 29 ) / 2

LCM(6,38,29) = 6612 / 2

LCM(6,38,29) = 3306


Lets's calculate GCF of 42,530,705

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3306/1

Therefore the LCM of Fractions 6/42,38/530,29/705 is 3306

Greatest Common Factor of 42,530,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,530,705 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

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 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 42,530,705 . The biggest common factor number is the GCF number.
So the greatest common factor 42,530,705 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 6/42, 38/530, 29/705

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 6/42, 38/530, 29/705?

Answer: LCM of Numerators as per given numbers 6/42, 38/530, 29/705 is

LCM of Numerators i.e. for 6,38,29 is 3306

GCF of denominators i.e. for 42,530,705 is 1.

Thus, LCM of Fractions is 3306.Finally, LCM of Fractions for 6/42, 38/530, 29/705 is 3306.