Least Common Multiple of 46/27, 715/44, 371/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/27, 715/44, 371/575 quickly i.e. 12202190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/27, 715/44, 371/575 is 12202190.

LCM(46/27, 715/44, 371/575) = 12202190

LCM of 46/27, 715/44, 371/575

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 46/27,715/44,371/575

Given numbers are 46/27,715/44,371/575

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 46,715,371

Least Common Multiple of Numerators i.e. LCM of 46,715,371 is 12202190.

GCF of Denominators means GCF of 27,44,575 as per the given fractions.

GCF of 27,44,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,715,371

LCM of Fractions 46/27,715/44,371/575 is 12202190

Given numbers has no common factors except 1. So, there LCM is their product i.e 12202190

Least Common Multiple of 46,715,371 with GCF Formula

Least Common Multiple of 46,715,371 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 46,715,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,715,371) = 1

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

GCF(46,715,371) x common factors =1 x 1 = 1

LCM(46,715,371) = ( 46 × 715 × 371 ) / 1

LCM(46,715,371) = 12202190 / 1

LCM(46,715,371) = 12202190


Lets's calculate GCF of 27,44,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12202190/1

Therefore the LCM of Fractions 46/27,715/44,371/575 is 12202190

Greatest Common Factor of 27,44,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,44,575 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 27,44,575 . The biggest common factor number is the GCF number.
So the greatest common factor 27,44,575 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 46/27, 715/44, 371/575

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 46/27, 715/44, 371/575?

Answer: LCM of Numerators as per given numbers 46/27, 715/44, 371/575 is

LCM of Numerators i.e. for 46,715,371 is 12202190

GCF of denominators i.e. for 27,44,575 is 1.

Thus, LCM of Fractions is 12202190.Finally, LCM of Fractions for 46/27, 715/44, 371/575 is 12202190.