Least Common Multiple of 46/909, 78/872, 271/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/909, 78/872, 271/369 quickly i.e. 486174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/909, 78/872, 271/369 is 486174.

LCM(46/909, 78/872, 271/369) = 486174

LCM of 46/909, 78/872, 271/369

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 46/909,78/872,271/369

Given numbers are 46/909,78/872,271/369

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 46,78,271

Least Common Multiple of Numerators i.e. LCM of 46,78,271 is 486174.

GCF of Denominators means GCF of 909,872,369 as per the given fractions.

GCF of 909,872,369 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,78,271

LCM of Fractions 46/909,78/872,271/369 is 486174

2 46, 78, 271
23, 39, 271

∴ So the LCM of the given numbers is 2 x 23 x 39 x 271 = 486174

Least Common Multiple of 46,78,271 with GCF Formula

Least Common Multiple of 46,78,271 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 46,78,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,78,271) = 1

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

GCF(46,78,271) x common factors =1 x 2 = 2

LCM(46,78,271) = ( 46 × 78 × 271 ) / 2

LCM(46,78,271) = 972348 / 2

LCM(46,78,271) = 486174


Lets's calculate GCF of 909,872,369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 486174/1

Therefore the LCM of Fractions 46/909,78/872,271/369 is 486174

Greatest Common Factor of 909,872,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,872,369 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 909,872,369 . The biggest common factor number is the GCF number.
So the greatest common factor 909,872,369 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 46/909, 78/872, 271/369

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 46/909, 78/872, 271/369?

Answer: LCM of Numerators as per given numbers 46/909, 78/872, 271/369 is

LCM of Numerators i.e. for 46,78,271 is 486174

GCF of denominators i.e. for 909,872,369 is 1.

Thus, LCM of Fractions is 486174.Finally, LCM of Fractions for 46/909, 78/872, 271/369 is 486174.