Least Common Multiple of 1/24, 6/55, 31/71, 58/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/24, 6/55, 31/71, 58/219 quickly i.e. 5394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/24, 6/55, 31/71, 58/219 is 5394.

LCM(1/24, 6/55, 31/71, 58/219) = 5394

LCM of 1/24, 6/55, 31/71, 58/219

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 1/24,6/55,31/71,58/219

Given numbers are 1/24,6/55,31/71,58/219

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 1,6,31,58

Least Common Multiple of Numerators i.e. LCM of 1,6,31,58 is 5394.

GCF of Denominators means GCF of 24,55,71,219 as per the given fractions.

GCF of 24,55,71,219 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,6,31,58

LCM of Fractions 1/24,6/55,31/71,58/219 is 5394

2 1, 6, 31, 58
1, 3, 31, 29

∴ So the LCM of the given numbers is 2 x 1 x 3 x 31 x 29 = 5394

Least Common Multiple of 1,6,31,58 with GCF Formula

Least Common Multiple of 1,6,31,58 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 1,6,31,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,6,31,58) = 1

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

GCF(1,6,31,58) x common factors =1 x 2 = 2

LCM(1,6,31,58) = ( 1 × 6 × 31 × 58 ) / 2

LCM(1,6,31,58) = 10788 / 2

LCM(1,6,31,58) = 5394


Lets's calculate GCF of 24,55,71,219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5394/1

Therefore the LCM of Fractions 1/24,6/55,31/71,58/219 is 5394

Greatest Common Factor of 24,55,71,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,55,71,219 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 24,55,71,219 . The biggest common factor number is the GCF number.
So the greatest common factor 24,55,71,219 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 1/24, 6/55, 31/71, 58/219

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 1/24, 6/55, 31/71, 58/219?

Answer: LCM of Numerators as per given numbers 1/24, 6/55, 31/71, 58/219 is

LCM of Numerators i.e. for 1,6,31,58 is 5394

GCF of denominators i.e. for 24,55,71,219 is 1.

Thus, LCM of Fractions is 5394.Finally, LCM of Fractions for 1/24, 6/55, 31/71, 58/219 is 5394.