Least Common Multiple of 73/19, 120/49, 446/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/19, 120/49, 446/802 quickly i.e. 1953480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/19, 120/49, 446/802 is 1953480.

LCM(73/19, 120/49, 446/802) = 1953480

LCM of 73/19, 120/49, 446/802

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 73/19,120/49,446/802

Given numbers are 73/19,120/49,446/802

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 73,120,446

Least Common Multiple of Numerators i.e. LCM of 73,120,446 is 1953480.

GCF of Denominators means GCF of 19,49,802 as per the given fractions.

GCF of 19,49,802 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,120,446

LCM of Fractions 73/19,120/49,446/802 is 1953480

2 73, 120, 446
73, 60, 223

∴ So the LCM of the given numbers is 2 x 73 x 60 x 223 = 1953480

Least Common Multiple of 73,120,446 with GCF Formula

Least Common Multiple of 73,120,446 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 73,120,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,120,446) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(73,120,446) x common factors =1 x 2 = 2

LCM(73,120,446) = ( 73 × 120 × 446 ) / 2

LCM(73,120,446) = 3906960 / 2

LCM(73,120,446) = 1953480


Lets's calculate GCF of 19,49,802

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1953480/1

Therefore the LCM of Fractions 73/19,120/49,446/802 is 1953480

Greatest Common Factor of 19,49,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,49,802 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 19,49,802 . The biggest common factor number is the GCF number.
So the greatest common factor 19,49,802 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 73/19, 120/49, 446/802

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 73/19, 120/49, 446/802?

Answer: LCM of Numerators as per given numbers 73/19, 120/49, 446/802 is

LCM of Numerators i.e. for 73,120,446 is 1953480

GCF of denominators i.e. for 19,49,802 is 1.

Thus, LCM of Fractions is 1953480.Finally, LCM of Fractions for 73/19, 120/49, 446/802 is 1953480.