Least Common Multiple of 55/20, 31/28, 67/23, 31/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/20, 31/28, 67/23, 31/392 quickly i.e. 114235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/20, 31/28, 67/23, 31/392 is 114235.

LCM(55/20, 31/28, 67/23, 31/392) = 114235

LCM of 55/20, 31/28, 67/23, 31/392

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 55/20,31/28,67/23,31/392

Given numbers are 55/20,31/28,67/23,31/392

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 55,31,67,31

Least Common Multiple of Numerators i.e. LCM of 55,31,67,31 is 114235.

GCF of Denominators means GCF of 20,28,23,392 as per the given fractions.

GCF of 20,28,23,392 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,31,67,31

LCM of Fractions 55/20,31/28,67/23,31/392 is 114235

31 55, 31, 67, 31
55, 1, 67, 1

∴ So the LCM of the given numbers is 31 x 55 x 1 x 67 x 1 = 114235

Least Common Multiple of 55,31,67,31 with GCF Formula

Least Common Multiple of 55,31,67,31 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 55,31,67,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,31,67,31) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(55,31,67,31) x common factors =1 x 31 = 31

LCM(55,31,67,31) = ( 55 × 31 × 67 × 31 ) / 31

LCM(55,31,67,31) = 3541285 / 31

LCM(55,31,67,31) = 114235


Lets's calculate GCF of 20,28,23,392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114235/1

Therefore the LCM of Fractions 55/20,31/28,67/23,31/392 is 114235

Greatest Common Factor of 20,28,23,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,28,23,392 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 20,28,23,392 . The biggest common factor number is the GCF number.
So the greatest common factor 20,28,23,392 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 55/20, 31/28, 67/23, 31/392

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 55/20, 31/28, 67/23, 31/392?

Answer: LCM of Numerators as per given numbers 55/20, 31/28, 67/23, 31/392 is

LCM of Numerators i.e. for 55,31,67,31 is 114235

GCF of denominators i.e. for 20,28,23,392 is 1.

Thus, LCM of Fractions is 114235.Finally, LCM of Fractions for 55/20, 31/28, 67/23, 31/392 is 114235.