Least Common Multiple of 42/429, 857/546, 389/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/429, 857/546, 389/540 quickly i.e. 4667222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/429, 857/546, 389/540 is 4667222.

LCM(42/429, 857/546, 389/540) = 4667222

LCM of 42/429, 857/546, 389/540

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 42/429,857/546,389/540

Given numbers are 42/429,857/546,389/540

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 42,857,389

Least Common Multiple of Numerators i.e. LCM of 42,857,389 is 14001666.

GCF of Denominators means GCF of 429,546,540 as per the given fractions.

GCF of 429,546,540 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,857,389

LCM of Fractions 42/429,857/546,389/540 is 4667222

Given numbers has no common factors except 1. So, there LCM is their product i.e 14001666

Least Common Multiple of 42,857,389 with GCF Formula

Least Common Multiple of 42,857,389 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 42,857,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,857,389) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(42,857,389) x common factors =1 x 1 = 1

LCM(42,857,389) = ( 42 × 857 × 389 ) / 1

LCM(42,857,389) = 14001666 / 1

LCM(42,857,389) = 14001666


Lets's calculate GCF of 429,546,540

3 429, 546, 540
143, 182, 180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14001666/3

Therefore the LCM of Fractions 42/429,857/546,389/540 is 4667222

Greatest Common Factor of 429,546,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,546,540 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 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 429,546,540 . The biggest common factor number is the GCF number.
So the greatest common factor 429,546,540 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 42/429, 857/546, 389/540

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 42/429, 857/546, 389/540?

Answer: LCM of Numerators as per given numbers 42/429, 857/546, 389/540 is

LCM of Numerators i.e. for 42,857,389 is 14001666

GCF of denominators i.e. for 429,546,540 is 3.

Thus, LCM of Fractions is 4667222.Finally, LCM of Fractions for 42/429, 857/546, 389/540 is 4667222.