Least Common Multiple of 42/330, 851/484, 682/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/330, 851/484, 682/809 quickly i.e. 12188022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/330, 851/484, 682/809 is 12188022.

LCM(42/330, 851/484, 682/809) = 12188022

LCM of 42/330, 851/484, 682/809

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 42/330,851/484,682/809

Given numbers are 42/330,851/484,682/809

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 42,851,682

Least Common Multiple of Numerators i.e. LCM of 42,851,682 is 12188022.

GCF of Denominators means GCF of 330,484,809 as per the given fractions.

GCF of 330,484,809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,851,682

LCM of Fractions 42/330,851/484,682/809 is 12188022

2 42, 851, 682
21, 851, 341

∴ So the LCM of the given numbers is 2 x 21 x 851 x 341 = 12188022

Least Common Multiple of 42,851,682 with GCF Formula

Least Common Multiple of 42,851,682 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 42,851,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,851,682) = 1

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

GCF(42,851,682) x common factors =1 x 2 = 2

LCM(42,851,682) = ( 42 × 851 × 682 ) / 2

LCM(42,851,682) = 24376044 / 2

LCM(42,851,682) = 12188022


Lets's calculate GCF of 330,484,809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12188022/1

Therefore the LCM of Fractions 42/330,851/484,682/809 is 12188022

Greatest Common Factor of 330,484,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,484,809 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 330,484,809 . The biggest common factor number is the GCF number.
So the greatest common factor 330,484,809 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 42/330, 851/484, 682/809

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 42/330, 851/484, 682/809?

Answer: LCM of Numerators as per given numbers 42/330, 851/484, 682/809 is

LCM of Numerators i.e. for 42,851,682 is 12188022

GCF of denominators i.e. for 330,484,809 is 1.

Thus, LCM of Fractions is 12188022.Finally, LCM of Fractions for 42/330, 851/484, 682/809 is 12188022.