Least Common Multiple of 42/660, 332/555, 504/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/660, 332/555, 504/365 quickly i.e. 41832/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/660, 332/555, 504/365 is 41832/5.

LCM(42/660, 332/555, 504/365) = 41832/5

LCM of 42/660, 332/555, 504/365

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 42/660,332/555,504/365

Given numbers are 42/660,332/555,504/365

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 42,332,504

Least Common Multiple of Numerators i.e. LCM of 42,332,504 is 41832.

GCF of Denominators means GCF of 660,555,365 as per the given fractions.

GCF of 660,555,365 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,332,504

LCM of Fractions 42/660,332/555,504/365 is 41832/5

2 42, 332, 504
2 21, 166, 252
3 21, 83, 126
7 7, 83, 42
1, 83, 6

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 83 x 6 = 41832

Least Common Multiple of 42,332,504 with GCF Formula

Least Common Multiple of 42,332,504 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 42,332,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,332,504) = 2

common factors(in case of two or more numbers have common factors) = 84

GCF(42,332,504) x common factors =2 x 84 = 168

LCM(42,332,504) = ( 42 × 332 × 504 ) / 168

LCM(42,332,504) = 7027776 / 168

LCM(42,332,504) = 41832


Lets's calculate GCF of 660,555,365

5 660, 555, 365
132, 111, 73

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41832/5

Therefore the LCM of Fractions 42/660,332/555,504/365 is 41832/5

Greatest Common Factor of 660,555,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,555,365 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 660,555,365 . The biggest common factor number is the GCF number.
So the greatest common factor 660,555,365 is 5.


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 42/660, 332/555, 504/365

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 42/660, 332/555, 504/365?

Answer: LCM of Numerators as per given numbers 42/660, 332/555, 504/365 is

LCM of Numerators i.e. for 42,332,504 is 41832

GCF of denominators i.e. for 660,555,365 is 5.

Thus, LCM of Fractions is 41832/5.Finally, LCM of Fractions for 42/660, 332/555, 504/365 is 41832/5.