Least Common Multiple of 812/93, 494/87, 831/61

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 812/93, 494/87, 831/61 quickly i.e. 166668684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 812/93, 494/87, 831/61 is 166668684.

LCM(812/93, 494/87, 831/61) = 166668684

LCM of 812/93, 494/87, 831/61

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 812/93,494/87,831/61

Given numbers are 812/93,494/87,831/61

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 812,494,831

Least Common Multiple of Numerators i.e. LCM of 812,494,831 is 166668684.

GCF of Denominators means GCF of 93,87,61 as per the given fractions.

GCF of 93,87,61 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 812,494,831

LCM of Fractions 812/93,494/87,831/61 is 166668684

2 812, 494, 831
406, 247, 831

∴ So the LCM of the given numbers is 2 x 406 x 247 x 831 = 166668684

Least Common Multiple of 812,494,831 with GCF Formula

Least Common Multiple of 812,494,831 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 812,494,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,494,831) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(812,494,831) x common factors =1 x 2 = 2

LCM(812,494,831) = ( 812 × 494 × 831 ) / 2

LCM(812,494,831) = 333337368 / 2

LCM(812,494,831) = 166668684


Lets's calculate GCF of 93,87,61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166668684/1

Therefore the LCM of Fractions 812/93,494/87,831/61 is 166668684

Greatest Common Factor of 93,87,61 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,87,61 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Greatest Common Factor

We found the factors 93,87,61 . The biggest common factor number is the GCF number.
So the greatest common factor 93,87,61 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 812/93, 494/87, 831/61

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 812/93, 494/87, 831/61?

Answer: LCM of Numerators as per given numbers 812/93, 494/87, 831/61 is

LCM of Numerators i.e. for 812,494,831 is 166668684

GCF of denominators i.e. for 93,87,61 is 1.

Thus, LCM of Fractions is 166668684.Finally, LCM of Fractions for 812/93, 494/87, 831/61 is 166668684.