Least Common Multiple of 30/429, 543/405, 391/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/429, 543/405, 391/366 quickly i.e. 707710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/429, 543/405, 391/366 is 707710.

LCM(30/429, 543/405, 391/366) = 707710

LCM of 30/429, 543/405, 391/366

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 30/429,543/405,391/366

Given numbers are 30/429,543/405,391/366

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 30,543,391

Least Common Multiple of Numerators i.e. LCM of 30,543,391 is 2123130.

GCF of Denominators means GCF of 429,405,366 as per the given fractions.

GCF of 429,405,366 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,543,391

LCM of Fractions 30/429,543/405,391/366 is 707710

3 30, 543, 391
10, 181, 391

∴ So the LCM of the given numbers is 3 x 10 x 181 x 391 = 2123130

Least Common Multiple of 30,543,391 with GCF Formula

Least Common Multiple of 30,543,391 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 30,543,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,543,391) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(30,543,391) x common factors =1 x 3 = 3

LCM(30,543,391) = ( 30 × 543 × 391 ) / 3

LCM(30,543,391) = 6369390 / 3

LCM(30,543,391) = 2123130


Lets's calculate GCF of 429,405,366

3 429, 405, 366
143, 135, 122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2123130/3

Therefore the LCM of Fractions 30/429,543/405,391/366 is 707710

Greatest Common Factor of 429,405,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,405,366 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 429,405,366 . The biggest common factor number is the GCF number.
So the greatest common factor 429,405,366 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 30/429, 543/405, 391/366

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 30/429, 543/405, 391/366?

Answer: LCM of Numerators as per given numbers 30/429, 543/405, 391/366 is

LCM of Numerators i.e. for 30,543,391 is 2123130

GCF of denominators i.e. for 429,405,366 is 3.

Thus, LCM of Fractions is 707710.Finally, LCM of Fractions for 30/429, 543/405, 391/366 is 707710.