Least Common Multiple of 11/897, 96/792, 760/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/897, 96/792, 760/205 quickly i.e. 100320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/897, 96/792, 760/205 is 100320.

LCM(11/897, 96/792, 760/205) = 100320

LCM of 11/897, 96/792, 760/205

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 11/897,96/792,760/205

Given numbers are 11/897,96/792,760/205

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 11,96,760

Least Common Multiple of Numerators i.e. LCM of 11,96,760 is 100320.

GCF of Denominators means GCF of 897,792,205 as per the given fractions.

GCF of 897,792,205 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,96,760

LCM of Fractions 11/897,96/792,760/205 is 100320

2 11, 96, 760
2 11, 48, 380
2 11, 24, 190
11, 12, 95

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 12 x 95 = 100320

Least Common Multiple of 11,96,760 with GCF Formula

Least Common Multiple of 11,96,760 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 11,96,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,96,760) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(11,96,760) x common factors =1 x 8 = 8

LCM(11,96,760) = ( 11 × 96 × 760 ) / 8

LCM(11,96,760) = 802560 / 8

LCM(11,96,760) = 100320


Lets's calculate GCF of 897,792,205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100320/1

Therefore the LCM of Fractions 11/897,96/792,760/205 is 100320

Greatest Common Factor of 897,792,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,792,205 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 897,792,205 . The biggest common factor number is the GCF number.
So the greatest common factor 897,792,205 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/897, 96/792, 760/205

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 11/897, 96/792, 760/205?

Answer: LCM of Numerators as per given numbers 11/897, 96/792, 760/205 is

LCM of Numerators i.e. for 11,96,760 is 100320

GCF of denominators i.e. for 897,792,205 is 1.

Thus, LCM of Fractions is 100320.Finally, LCM of Fractions for 11/897, 96/792, 760/205 is 100320.