Least Common Multiple of 864/96, 549/10, 538/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/96, 549/10, 538/31 quickly i.e. 14177376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/96, 549/10, 538/31 is 14177376.

LCM(864/96, 549/10, 538/31) = 14177376

LCM of 864/96, 549/10, 538/31

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 864/96,549/10,538/31

Given numbers are 864/96,549/10,538/31

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 864,549,538

Least Common Multiple of Numerators i.e. LCM of 864,549,538 is 14177376.

GCF of Denominators means GCF of 96,10,31 as per the given fractions.

GCF of 96,10,31 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,549,538

LCM of Fractions 864/96,549/10,538/31 is 14177376

2 864, 549, 538
3 432, 549, 269
3 144, 183, 269
48, 61, 269

∴ So the LCM of the given numbers is 2 x 3 x 3 x 48 x 61 x 269 = 14177376

Least Common Multiple of 864,549,538 with GCF Formula

Least Common Multiple of 864,549,538 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 864,549,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,549,538) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(864,549,538) x common factors =1 x 18 = 18

LCM(864,549,538) = ( 864 × 549 × 538 ) / 18

LCM(864,549,538) = 255192768 / 18

LCM(864,549,538) = 14177376


Lets's calculate GCF of 96,10,31

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14177376/1

Therefore the LCM of Fractions 864/96,549/10,538/31 is 14177376

Greatest Common Factor of 96,10,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,10,31 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 96,10,31 . The biggest common factor number is the GCF number.
So the greatest common factor 96,10,31 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 864/96, 549/10, 538/31

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 864/96, 549/10, 538/31?

Answer: LCM of Numerators as per given numbers 864/96, 549/10, 538/31 is

LCM of Numerators i.e. for 864,549,538 is 14177376

GCF of denominators i.e. for 96,10,31 is 1.

Thus, LCM of Fractions is 14177376.Finally, LCM of Fractions for 864/96, 549/10, 538/31 is 14177376.