Least Common Multiple of 73/75, 438/80, 646/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/75, 438/80, 646/548 quickly i.e. 141474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/75, 438/80, 646/548 is 141474.

LCM(73/75, 438/80, 646/548) = 141474

LCM of 73/75, 438/80, 646/548

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 73/75,438/80,646/548

Given numbers are 73/75,438/80,646/548

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 73,438,646

Least Common Multiple of Numerators i.e. LCM of 73,438,646 is 141474.

GCF of Denominators means GCF of 75,80,548 as per the given fractions.

GCF of 75,80,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,438,646

LCM of Fractions 73/75,438/80,646/548 is 141474

2 73, 438, 646
73 73, 219, 323
1, 3, 323

∴ So the LCM of the given numbers is 2 x 73 x 1 x 3 x 323 = 141474

Least Common Multiple of 73,438,646 with GCF Formula

Least Common Multiple of 73,438,646 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 73,438,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,438,646) = 1

common factors(in case of two or more numbers have common factors) = 146

GCF(73,438,646) x common factors =1 x 146 = 146

LCM(73,438,646) = ( 73 × 438 × 646 ) / 146

LCM(73,438,646) = 20655204 / 146

LCM(73,438,646) = 141474


Lets's calculate GCF of 75,80,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141474/1

Therefore the LCM of Fractions 73/75,438/80,646/548 is 141474

Greatest Common Factor of 75,80,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,80,548 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 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 75,80,548 . The biggest common factor number is the GCF number.
So the greatest common factor 75,80,548 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 73/75, 438/80, 646/548

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 73/75, 438/80, 646/548?

Answer: LCM of Numerators as per given numbers 73/75, 438/80, 646/548 is

LCM of Numerators i.e. for 73,438,646 is 141474

GCF of denominators i.e. for 75,80,548 is 1.

Thus, LCM of Fractions is 141474.Finally, LCM of Fractions for 73/75, 438/80, 646/548 is 141474.