Least Common Multiple of 92/999, 392/189, 523/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/999, 392/189, 523/960 quickly i.e. 4715368/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/999, 392/189, 523/960 is 4715368/3.

LCM(92/999, 392/189, 523/960) = 4715368/3

LCM of 92/999, 392/189, 523/960

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 92/999,392/189,523/960

Given numbers are 92/999,392/189,523/960

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 92,392,523

Least Common Multiple of Numerators i.e. LCM of 92,392,523 is 4715368.

GCF of Denominators means GCF of 999,189,960 as per the given fractions.

GCF of 999,189,960 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,392,523

LCM of Fractions 92/999,392/189,523/960 is 4715368/3

2 92, 392, 523
2 46, 196, 523
23, 98, 523

∴ So the LCM of the given numbers is 2 x 2 x 23 x 98 x 523 = 4715368

Least Common Multiple of 92,392,523 with GCF Formula

Least Common Multiple of 92,392,523 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 92,392,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,392,523) = 1

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

GCF(92,392,523) x common factors =1 x 4 = 4

LCM(92,392,523) = ( 92 × 392 × 523 ) / 4

LCM(92,392,523) = 18861472 / 4

LCM(92,392,523) = 4715368


Lets's calculate GCF of 999,189,960

3 999, 189, 960
333, 63, 320

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4715368/3

Therefore the LCM of Fractions 92/999,392/189,523/960 is 4715368/3

Greatest Common Factor of 999,189,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,189,960 By Matching Biggest Common Factor Method

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 999,189,960 . The biggest common factor number is the GCF number.
So the greatest common factor 999,189,960 is 3.


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 92/999, 392/189, 523/960

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 92/999, 392/189, 523/960?

Answer: LCM of Numerators as per given numbers 92/999, 392/189, 523/960 is

LCM of Numerators i.e. for 92,392,523 is 4715368

GCF of denominators i.e. for 999,189,960 is 3.

Thus, LCM of Fractions is 4715368/3.Finally, LCM of Fractions for 92/999, 392/189, 523/960 is 4715368/3.