Least Common Multiple of 74/53, 84/72, 189/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/53, 84/72, 189/660 quickly i.e. 27972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/53, 84/72, 189/660 is 27972.

LCM(74/53, 84/72, 189/660) = 27972

LCM of 74/53, 84/72, 189/660

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 74/53,84/72,189/660

Given numbers are 74/53,84/72,189/660

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 74,84,189

Least Common Multiple of Numerators i.e. LCM of 74,84,189 is 27972.

GCF of Denominators means GCF of 53,72,660 as per the given fractions.

GCF of 53,72,660 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,84,189

LCM of Fractions 74/53,84/72,189/660 is 27972

2 74, 84, 189
3 37, 42, 189
7 37, 14, 63
37, 2, 9

∴ So the LCM of the given numbers is 2 x 3 x 7 x 37 x 2 x 9 = 27972

Least Common Multiple of 74,84,189 with GCF Formula

Least Common Multiple of 74,84,189 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 74,84,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,84,189) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(74,84,189) x common factors =1 x 42 = 42

LCM(74,84,189) = ( 74 × 84 × 189 ) / 42

LCM(74,84,189) = 1174824 / 42

LCM(74,84,189) = 27972


Lets's calculate GCF of 53,72,660

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27972/1

Therefore the LCM of Fractions 74/53,84/72,189/660 is 27972

Greatest Common Factor of 53,72,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,72,660 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

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

Greatest Common Factor

We found the factors 53,72,660 . The biggest common factor number is the GCF number.
So the greatest common factor 53,72,660 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 74/53, 84/72, 189/660

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 74/53, 84/72, 189/660?

Answer: LCM of Numerators as per given numbers 74/53, 84/72, 189/660 is

LCM of Numerators i.e. for 74,84,189 is 27972

GCF of denominators i.e. for 53,72,660 is 1.

Thus, LCM of Fractions is 27972.Finally, LCM of Fractions for 74/53, 84/72, 189/660 is 27972.