Least Common Multiple of 42/75, 19/21, 52/64, 42/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/75, 19/21, 52/64, 42/474 quickly i.e. 20748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/75, 19/21, 52/64, 42/474 is 20748.

LCM(42/75, 19/21, 52/64, 42/474) = 20748

LCM of 42/75, 19/21, 52/64, 42/474

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 42/75,19/21,52/64,42/474

Given numbers are 42/75,19/21,52/64,42/474

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 42,19,52,42

Least Common Multiple of Numerators i.e. LCM of 42,19,52,42 is 20748.

GCF of Denominators means GCF of 75,21,64,474 as per the given fractions.

GCF of 75,21,64,474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,19,52,42

LCM of Fractions 42/75,19/21,52/64,42/474 is 20748

2 42, 19, 52, 42
3 21, 19, 26, 21
7 7, 19, 26, 7
1, 19, 26, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 19 x 26 x 1 = 20748

Least Common Multiple of 42,19,52,42 with GCF Formula

Least Common Multiple of 42,19,52,42 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 42,19,52,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,19,52,42) = 1

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

GCF(42,19,52,42) x common factors =1 x 84 = 84

LCM(42,19,52,42) = ( 42 × 19 × 52 × 42 ) / 84

LCM(42,19,52,42) = 1742832 / 84

LCM(42,19,52,42) = 20748


Lets's calculate GCF of 75,21,64,474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20748/1

Therefore the LCM of Fractions 42/75,19/21,52/64,42/474 is 20748

Greatest Common Factor of 75,21,64,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,21,64,474 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 75,21,64,474 . The biggest common factor number is the GCF number.
So the greatest common factor 75,21,64,474 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 42/75, 19/21, 52/64, 42/474

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 42/75, 19/21, 52/64, 42/474?

Answer: LCM of Numerators as per given numbers 42/75, 19/21, 52/64, 42/474 is

LCM of Numerators i.e. for 42,19,52,42 is 20748

GCF of denominators i.e. for 75,21,64,474 is 1.

Thus, LCM of Fractions is 20748.Finally, LCM of Fractions for 42/75, 19/21, 52/64, 42/474 is 20748.