Least Common Multiple of 927/96, 831/92, 468/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 927/96, 831/92, 468/570 quickly i.e. 6676254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 927/96, 831/92, 468/570 is 6676254.

LCM(927/96, 831/92, 468/570) = 6676254

LCM of 927/96, 831/92, 468/570

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 927/96,831/92,468/570

Given numbers are 927/96,831/92,468/570

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 927,831,468

Least Common Multiple of Numerators i.e. LCM of 927,831,468 is 13352508.

GCF of Denominators means GCF of 96,92,570 as per the given fractions.

GCF of 96,92,570 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 927,831,468

LCM of Fractions 927/96,831/92,468/570 is 6676254

3 927, 831, 468
3 309, 277, 156
103, 277, 52

∴ So the LCM of the given numbers is 3 x 3 x 103 x 277 x 52 = 13352508

Least Common Multiple of 927,831,468 with GCF Formula

Least Common Multiple of 927,831,468 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 927,831,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,831,468) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(927,831,468) x common factors =3 x 9 = 27

LCM(927,831,468) = ( 927 × 831 × 468 ) / 27

LCM(927,831,468) = 360517716 / 27

LCM(927,831,468) = 13352508


Lets's calculate GCF of 96,92,570

2 96, 92, 570
48, 46, 285

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13352508/2

Therefore the LCM of Fractions 927/96,831/92,468/570 is 6676254

Greatest Common Factor of 96,92,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,92,570 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 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 96,92,570 . The biggest common factor number is the GCF number.
So the greatest common factor 96,92,570 is 2.


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 927/96, 831/92, 468/570

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 927/96, 831/92, 468/570?

Answer: LCM of Numerators as per given numbers 927/96, 831/92, 468/570 is

LCM of Numerators i.e. for 927,831,468 is 13352508

GCF of denominators i.e. for 96,92,570 is 2.

Thus, LCM of Fractions is 6676254.Finally, LCM of Fractions for 927/96, 831/92, 468/570 is 6676254.