Least Common Multiple of 31/88, 847/81, 812/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 31/88, 847/81, 812/822 quickly i.e. 3045812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/88, 847/81, 812/822 is 3045812.

LCM(31/88, 847/81, 812/822) = 3045812

LCM of 31/88, 847/81, 812/822

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 31/88,847/81,812/822

Given numbers are 31/88,847/81,812/822

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 31,847,812

Least Common Multiple of Numerators i.e. LCM of 31,847,812 is 3045812.

GCF of Denominators means GCF of 88,81,822 as per the given fractions.

GCF of 88,81,822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,847,812

LCM of Fractions 31/88,847/81,812/822 is 3045812

7 31, 847, 812
31, 121, 116

∴ So the LCM of the given numbers is 7 x 31 x 121 x 116 = 3045812

Least Common Multiple of 31,847,812 with GCF Formula

Least Common Multiple of 31,847,812 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 31,847,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,847,812) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(31,847,812) x common factors =1 x 7 = 7

LCM(31,847,812) = ( 31 × 847 × 812 ) / 7

LCM(31,847,812) = 21320684 / 7

LCM(31,847,812) = 3045812


Lets's calculate GCF of 88,81,822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3045812/1

Therefore the LCM of Fractions 31/88,847/81,812/822 is 3045812

Greatest Common Factor of 88,81,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,81,822 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 88,81,822 . The biggest common factor number is the GCF number.
So the greatest common factor 88,81,822 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 31/88, 847/81, 812/822

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 31/88, 847/81, 812/822?

Answer: LCM of Numerators as per given numbers 31/88, 847/81, 812/822 is

LCM of Numerators i.e. for 31,847,812 is 3045812

GCF of denominators i.e. for 88,81,822 is 1.

Thus, LCM of Fractions is 3045812.Finally, LCM of Fractions for 31/88, 847/81, 812/822 is 3045812.