Least Common Multiple of 387/660, 872/749, 673/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 387/660, 872/749, 673/353 quickly i.e. 227113272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/660, 872/749, 673/353 is 227113272.

LCM(387/660, 872/749, 673/353) = 227113272

LCM of 387/660, 872/749, 673/353

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 387/660,872/749,673/353

Given numbers are 387/660,872/749,673/353

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 387,872,673

Least Common Multiple of Numerators i.e. LCM of 387,872,673 is 227113272.

GCF of Denominators means GCF of 660,749,353 as per the given fractions.

GCF of 660,749,353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,872,673

LCM of Fractions 387/660,872/749,673/353 is 227113272

Given numbers has no common factors except 1. So, there LCM is their product i.e 227113272

Least Common Multiple of 387,872,673 with GCF Formula

Least Common Multiple of 387,872,673 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 387,872,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,872,673) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(387,872,673) x common factors =1 x 1 = 1

LCM(387,872,673) = ( 387 × 872 × 673 ) / 1

LCM(387,872,673) = 227113272 / 1

LCM(387,872,673) = 227113272


Lets's calculate GCF of 660,749,353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 227113272/1

Therefore the LCM of Fractions 387/660,872/749,673/353 is 227113272

Greatest Common Factor of 660,749,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,749,353 By Matching Biggest Common Factor Method

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

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 660,749,353 . The biggest common factor number is the GCF number.
So the greatest common factor 660,749,353 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 387/660, 872/749, 673/353

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 387/660, 872/749, 673/353?

Answer: LCM of Numerators as per given numbers 387/660, 872/749, 673/353 is

LCM of Numerators i.e. for 387,872,673 is 227113272

GCF of denominators i.e. for 660,749,353 is 1.

Thus, LCM of Fractions is 227113272.Finally, LCM of Fractions for 387/660, 872/749, 673/353 is 227113272.