Least Common Multiple of 55/89, 27/56, 46/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/89, 27/56, 46/671 quickly i.e. 68310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/89, 27/56, 46/671 is 68310.

LCM(55/89, 27/56, 46/671) = 68310

LCM of 55/89, 27/56, 46/671

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 55/89,27/56,46/671

Given numbers are 55/89,27/56,46/671

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 55,27,46

Least Common Multiple of Numerators i.e. LCM of 55,27,46 is 68310.

GCF of Denominators means GCF of 89,56,671 as per the given fractions.

GCF of 89,56,671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,27,46

LCM of Fractions 55/89,27/56,46/671 is 68310

Given numbers has no common factors except 1. So, there LCM is their product i.e 68310

Least Common Multiple of 55,27,46 with GCF Formula

Least Common Multiple of 55,27,46 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 55,27,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,27,46) = 1

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

GCF(55,27,46) x common factors =1 x 1 = 1

LCM(55,27,46) = ( 55 × 27 × 46 ) / 1

LCM(55,27,46) = 68310 / 1

LCM(55,27,46) = 68310


Lets's calculate GCF of 89,56,671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68310/1

Therefore the LCM of Fractions 55/89,27/56,46/671 is 68310

Greatest Common Factor of 89,56,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,56,671 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 89,56,671 . The biggest common factor number is the GCF number.
So the greatest common factor 89,56,671 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 55/89, 27/56, 46/671

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 55/89, 27/56, 46/671?

Answer: LCM of Numerators as per given numbers 55/89, 27/56, 46/671 is

LCM of Numerators i.e. for 55,27,46 is 68310

GCF of denominators i.e. for 89,56,671 is 1.

Thus, LCM of Fractions is 68310.Finally, LCM of Fractions for 55/89, 27/56, 46/671 is 68310.