Least Common Multiple of 73/132, 72/414, 420/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/132, 72/414, 420/223 quickly i.e. 183960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/132, 72/414, 420/223 is 183960.

LCM(73/132, 72/414, 420/223) = 183960

LCM of 73/132, 72/414, 420/223

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 73/132,72/414,420/223

Given numbers are 73/132,72/414,420/223

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 73,72,420

Least Common Multiple of Numerators i.e. LCM of 73,72,420 is 183960.

GCF of Denominators means GCF of 132,414,223 as per the given fractions.

GCF of 132,414,223 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,72,420

LCM of Fractions 73/132,72/414,420/223 is 183960

2 73, 72, 420
2 73, 36, 210
3 73, 18, 105
73, 6, 35

∴ So the LCM of the given numbers is 2 x 2 x 3 x 73 x 6 x 35 = 183960

Least Common Multiple of 73,72,420 with GCF Formula

Least Common Multiple of 73,72,420 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 73,72,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,72,420) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(73,72,420) x common factors =1 x 12 = 12

LCM(73,72,420) = ( 73 × 72 × 420 ) / 12

LCM(73,72,420) = 2207520 / 12

LCM(73,72,420) = 183960


Lets's calculate GCF of 132,414,223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183960/1

Therefore the LCM of Fractions 73/132,72/414,420/223 is 183960

Greatest Common Factor of 132,414,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,414,223 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Greatest Common Factor

We found the factors 132,414,223 . The biggest common factor number is the GCF number.
So the greatest common factor 132,414,223 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 73/132, 72/414, 420/223

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 73/132, 72/414, 420/223?

Answer: LCM of Numerators as per given numbers 73/132, 72/414, 420/223 is

LCM of Numerators i.e. for 73,72,420 is 183960

GCF of denominators i.e. for 132,414,223 is 1.

Thus, LCM of Fractions is 183960.Finally, LCM of Fractions for 73/132, 72/414, 420/223 is 183960.