Least Common Multiple of 81/760, 603/334, 867/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/760, 603/334, 867/292 quickly i.e. 1568403/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/760, 603/334, 867/292 is 1568403/2.

LCM(81/760, 603/334, 867/292) = 1568403/2

LCM of 81/760, 603/334, 867/292

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 81/760,603/334,867/292

Given numbers are 81/760,603/334,867/292

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 81,603,867

Least Common Multiple of Numerators i.e. LCM of 81,603,867 is 1568403.

GCF of Denominators means GCF of 760,334,292 as per the given fractions.

GCF of 760,334,292 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,603,867

LCM of Fractions 81/760,603/334,867/292 is 1568403/2

3 81, 603, 867
3 27, 201, 289
9, 67, 289

∴ So the LCM of the given numbers is 3 x 3 x 9 x 67 x 289 = 1568403

Least Common Multiple of 81,603,867 with GCF Formula

Least Common Multiple of 81,603,867 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 81,603,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,603,867) = 3

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

GCF(81,603,867) x common factors =3 x 9 = 27

LCM(81,603,867) = ( 81 × 603 × 867 ) / 27

LCM(81,603,867) = 42346881 / 27

LCM(81,603,867) = 1568403


Lets's calculate GCF of 760,334,292

2 760, 334, 292
380, 167, 146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1568403/2

Therefore the LCM of Fractions 81/760,603/334,867/292 is 1568403/2

Greatest Common Factor of 760,334,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,334,292 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 760,334,292 . The biggest common factor number is the GCF number.
So the greatest common factor 760,334,292 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 81/760, 603/334, 867/292

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 81/760, 603/334, 867/292?

Answer: LCM of Numerators as per given numbers 81/760, 603/334, 867/292 is

LCM of Numerators i.e. for 81,603,867 is 1568403

GCF of denominators i.e. for 760,334,292 is 2.

Thus, LCM of Fractions is 1568403/2.Finally, LCM of Fractions for 81/760, 603/334, 867/292 is 1568403/2.