Least Common Multiple of 42/20, 495/57, 804/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/20, 495/57, 804/663 quickly i.e. 928620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/20, 495/57, 804/663 is 928620.

LCM(42/20, 495/57, 804/663) = 928620

LCM of 42/20, 495/57, 804/663

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 42/20,495/57,804/663

Given numbers are 42/20,495/57,804/663

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 42,495,804

Least Common Multiple of Numerators i.e. LCM of 42,495,804 is 928620.

GCF of Denominators means GCF of 20,57,663 as per the given fractions.

GCF of 20,57,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,495,804

LCM of Fractions 42/20,495/57,804/663 is 928620

2 42, 495, 804
3 21, 495, 402
7, 165, 134

∴ So the LCM of the given numbers is 2 x 3 x 7 x 165 x 134 = 928620

Least Common Multiple of 42,495,804 with GCF Formula

Least Common Multiple of 42,495,804 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 42,495,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,495,804) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(42,495,804) x common factors =3 x 6 = 18

LCM(42,495,804) = ( 42 × 495 × 804 ) / 18

LCM(42,495,804) = 16715160 / 18

LCM(42,495,804) = 928620


Lets's calculate GCF of 20,57,663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 928620/1

Therefore the LCM of Fractions 42/20,495/57,804/663 is 928620

Greatest Common Factor of 20,57,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,57,663 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 20,57,663 . The biggest common factor number is the GCF number.
So the greatest common factor 20,57,663 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 42/20, 495/57, 804/663

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 42/20, 495/57, 804/663?

Answer: LCM of Numerators as per given numbers 42/20, 495/57, 804/663 is

LCM of Numerators i.e. for 42,495,804 is 928620

GCF of denominators i.e. for 20,57,663 is 1.

Thus, LCM of Fractions is 928620.Finally, LCM of Fractions for 42/20, 495/57, 804/663 is 928620.