Least Common Multiple of 81/93, 258/38, 688/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/93, 258/38, 688/115 quickly i.e. 55728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/93, 258/38, 688/115 is 55728.

LCM(81/93, 258/38, 688/115) = 55728

LCM of 81/93, 258/38, 688/115

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 81/93,258/38,688/115

Given numbers are 81/93,258/38,688/115

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 81,258,688

Least Common Multiple of Numerators i.e. LCM of 81,258,688 is 55728.

GCF of Denominators means GCF of 93,38,115 as per the given fractions.

GCF of 93,38,115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,258,688

LCM of Fractions 81/93,258/38,688/115 is 55728

2 81, 258, 688
3 81, 129, 344
43 27, 43, 344
27, 1, 8

∴ So the LCM of the given numbers is 2 x 3 x 43 x 27 x 1 x 8 = 55728

Least Common Multiple of 81,258,688 with GCF Formula

Least Common Multiple of 81,258,688 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 81,258,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,258,688) = 1

common factors(in case of two or more numbers have common factors) = 258

GCF(81,258,688) x common factors =1 x 258 = 258

LCM(81,258,688) = ( 81 × 258 × 688 ) / 258

LCM(81,258,688) = 14377824 / 258

LCM(81,258,688) = 55728


Lets's calculate GCF of 93,38,115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55728/1

Therefore the LCM of Fractions 81/93,258/38,688/115 is 55728

Greatest Common Factor of 93,38,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,38,115 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 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 93,38,115 . The biggest common factor number is the GCF number.
So the greatest common factor 93,38,115 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 81/93, 258/38, 688/115

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 81/93, 258/38, 688/115?

Answer: LCM of Numerators as per given numbers 81/93, 258/38, 688/115 is

LCM of Numerators i.e. for 81,258,688 is 55728

GCF of denominators i.e. for 93,38,115 is 1.

Thus, LCM of Fractions is 55728.Finally, LCM of Fractions for 81/93, 258/38, 688/115 is 55728.