Least Common Multiple of 18/93, 56/82, 74/97, 23/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/93, 56/82, 74/97, 23/455 quickly i.e. 428904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/93, 56/82, 74/97, 23/455 is 428904.

LCM(18/93, 56/82, 74/97, 23/455) = 428904

LCM of 18/93, 56/82, 74/97, 23/455

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 18/93,56/82,74/97,23/455

Given numbers are 18/93,56/82,74/97,23/455

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 18,56,74,23

Least Common Multiple of Numerators i.e. LCM of 18,56,74,23 is 428904.

GCF of Denominators means GCF of 93,82,97,455 as per the given fractions.

GCF of 93,82,97,455 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,56,74,23

LCM of Fractions 18/93,56/82,74/97,23/455 is 428904

2 18, 56, 74, 23
9, 28, 37, 23

∴ So the LCM of the given numbers is 2 x 9 x 28 x 37 x 23 = 428904

Least Common Multiple of 18,56,74,23 with GCF Formula

Least Common Multiple of 18,56,74,23 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 18,56,74,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,56,74,23) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(18,56,74,23) x common factors =1 x 4 = 4

LCM(18,56,74,23) = ( 18 × 56 × 74 × 23 ) / 4

LCM(18,56,74,23) = 1715616 / 4

LCM(18,56,74,23) = 428904


Lets's calculate GCF of 93,82,97,455

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428904/1

Therefore the LCM of Fractions 18/93,56/82,74/97,23/455 is 428904

Greatest Common Factor of 93,82,97,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,82,97,455 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 93,82,97,455 . The biggest common factor number is the GCF number.
So the greatest common factor 93,82,97,455 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 18/93, 56/82, 74/97, 23/455

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 18/93, 56/82, 74/97, 23/455?

Answer: LCM of Numerators as per given numbers 18/93, 56/82, 74/97, 23/455 is

LCM of Numerators i.e. for 18,56,74,23 is 428904

GCF of denominators i.e. for 93,82,97,455 is 1.

Thus, LCM of Fractions is 428904.Finally, LCM of Fractions for 18/93, 56/82, 74/97, 23/455 is 428904.