Least Common Multiple of 536/42, 372/16, 605/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 536/42, 372/16, 605/164 quickly i.e. 15079020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 536/42, 372/16, 605/164 is 15079020.

LCM(536/42, 372/16, 605/164) = 15079020

LCM of 536/42, 372/16, 605/164

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 536/42,372/16,605/164

Given numbers are 536/42,372/16,605/164

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 536,372,605

Least Common Multiple of Numerators i.e. LCM of 536,372,605 is 30158040.

GCF of Denominators means GCF of 42,16,164 as per the given fractions.

GCF of 42,16,164 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 536,372,605

LCM of Fractions 536/42,372/16,605/164 is 15079020

2 536, 372, 605
2 268, 186, 605
134, 93, 605

∴ So the LCM of the given numbers is 2 x 2 x 134 x 93 x 605 = 30158040

Least Common Multiple of 536,372,605 with GCF Formula

Least Common Multiple of 536,372,605 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 536,372,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,372,605) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(536,372,605) x common factors =1 x 4 = 4

LCM(536,372,605) = ( 536 × 372 × 605 ) / 4

LCM(536,372,605) = 120632160 / 4

LCM(536,372,605) = 30158040


Lets's calculate GCF of 42,16,164

2 42, 16, 164
21, 8, 82

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30158040/2

Therefore the LCM of Fractions 536/42,372/16,605/164 is 15079020

Greatest Common Factor of 42,16,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,16,164 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 42,16,164 . The biggest common factor number is the GCF number.
So the greatest common factor 42,16,164 is 2.


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 536/42, 372/16, 605/164

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 536/42, 372/16, 605/164?

Answer: LCM of Numerators as per given numbers 536/42, 372/16, 605/164 is

LCM of Numerators i.e. for 536,372,605 is 30158040

GCF of denominators i.e. for 42,16,164 is 2.

Thus, LCM of Fractions is 15079020.Finally, LCM of Fractions for 536/42, 372/16, 605/164 is 15079020.